Greatest Common Factor of 385/8272, 777/9964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/8272, 777/9964

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 385/8272,777/9964

Given fractions are 385/8272,777/9964

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 385,777

Greatest Common Factor of Numerators i.e. GCF of 385,777 is 7 .

LCM of Denominators means LCM of 8272,9964 as per the given fractions.

LCM of 8272,9964 is 438416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,777

GCF of Fractions 385/8272,777/9964 is 7/438416

7 385, 777
55, 111

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 385,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,777 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 385,777 . The biggest common factor number is the GCF number.
So the greatest common factor 385,777 is 7.

Lets's calculate LCM of 8272,9964

2 8272, 9964
2 4136, 4982
47 2068, 2491
44, 53

∴ So the LCM of the given numbers is 2 x 2 x 47 x 44 x 53 = 438416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/438416

Therefore, the GCF of Fractions 385/8272,777/9964 is 7/438416

Least Common Multiple of 8272,9964 with GCF Formula

Least Common Multiple of 8272,9964 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 8272,9964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8272,9964) = 188

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

GCF(8272,9964) x common factors =188 x 1 = 188

LCM(8272,9964) = ( 8272 × 9964 ) / 188

LCM(8272,9964) = 82422208 / 188

LCM(8272,9964) = 438416


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 385/8272, 777/9964

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 385/8272, 777/9964?

Answer: GCF of Numerators as per given numbers 385/8272, 777/9964 is

GCF of Numerators i.e. for 385,777 is 7

LCM of denominators i.e. for 8272,9964 is 438416.

Thus, GCF of Fractions is 7/438416.Finally, GCF of Fractions for 385/8272, 777/9964 is 7/438416.