10.LCM and HCF Flashcards
How do you find the HCF of fractions?
To find the HCF of fractions, you need to find the HCF of their numerators and the LCM of their denominators.
How do you find the LCM of fractions?
To find the LCM of fractions, you need to find the LCM of their denominators and keep the numerators the same.
What is the relationship between the LCM and HCF of fractions?
The product of the LCM and HCF of fractions is equal to the product of the numerators divided by the product of the denominators.
How do you calculate the product of the LCM and HCF of fractions?
Product of LCM and HCF of fractions = (Product of numerators) / (Product of denominators)
Can the HCF of fractions be greater than 1?
Yes, the HCF of fractions can be greater than 1 if there are common factors in the numerators and denominators.
Can the LCM of fractions be less than or equal to any of the denominators?
No, the LCM of fractions will always be greater than or equal to the largest denominator involved.
Can the LCM * HCF of fractions be simplified?
Yes, the LCM * HCF of fractions can be simplified by canceling out common factors between the numerators and denominators.
Can the LCM and HCF of fractions be negative numbers?
No, the LCM and HCF of fractions are always positive numbers.
Can the LCM and HCF of fractions be fractions themselves?
Yes, the LCM and HCF of fractions can be fractions if the numerators and denominators have common factors.
How do you simplify fractions using LCM and HCF?
To simplify fractions using LCM and HCF, divide the numerator and denominator of the fraction by their HCF and simplify further if possible.
The least number which when divided by a, b and c leaves a
remainder R in each case. Required number =
= (LCM of a, b, c) +
R
The greatest number which divides a, b and c to leave the
remainder R
HCF of (a – R), (b – R) and (c – R)
The greatest number which divide x, y, z to leave remainders a, b,
c
HCF of (x – a), (y – b) and (z – c)
