Greatest Common Factor of 992/66, 9764/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 992/66, 9764/617

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 992/66,9764/617

Given fractions are 992/66,9764/617

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 992,9764

Greatest Common Factor of Numerators i.e. GCF of 992,9764 is 4 .

LCM of Denominators means LCM of 66,617 as per the given fractions.

LCM of 66,617 is 40722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 992,9764

GCF of Fractions 992/66,9764/617 is 4/40722

2 992, 9764
2 496, 4882
248, 2441

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 992,9764 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,9764 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 9764

List of positive integer factors of 9764 that divides 9764 without a remainder.

1,2,4,2441,4882,9764

Greatest Common Factor

We found the factors 992,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 992,9764 is 4.

Lets's calculate LCM of 66,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 40722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40722

Therefore, the GCF of Fractions 992/66,9764/617 is 4/40722

Least Common Multiple of 66,617 with GCF Formula

Least Common Multiple of 66,617 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 66,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,617) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(66,617) x common factors =1 x 1 = 1

LCM(66,617) = ( 66 × 617 ) / 1

LCM(66,617) = 40722 / 1

LCM(66,617) = 40722


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 992/66, 9764/617

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 992/66, 9764/617?

Answer: GCF of Numerators as per given numbers 992/66, 9764/617 is

GCF of Numerators i.e. for 992,9764 is 4

LCM of denominators i.e. for 66,617 is 40722.

Thus, GCF of Fractions is 4/40722.Finally, GCF of Fractions for 992/66, 9764/617 is 4/40722.