Greatest Common Factor of 5236/128, 9779/6207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5236/128, 9779/6207

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 5236/128,9779/6207

Given fractions are 5236/128,9779/6207

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 5236,9779

Greatest Common Factor of Numerators i.e. GCF of 5236,9779 is 77 .

LCM of Denominators means LCM of 128,6207 as per the given fractions.

LCM of 128,6207 is 794496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5236,9779

GCF of Fractions 5236/128,9779/6207 is 77/794496

7 5236, 9779
11 748, 1397
68, 127

∴ So the GCF of the given numbers is 7 x 11 = 77

Greatest Common Factor of 5236,9779 By Matching Biggest Common Factor Method

Greatest Common Factor of 5236,9779 By Matching Biggest Common Factor Method

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236

Factors of 9779

List of positive integer factors of 9779 that divides 9779 without a remainder.

1,7,11,77,127,889,1397,9779

Greatest Common Factor

We found the factors 5236,9779 . The biggest common factor number is the GCF number.
So the greatest common factor 5236,9779 is 77.

Lets's calculate LCM of 128,6207

Given numbers has no common factors except 1. So, there LCM is their product i.e 794496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/794496

Therefore, the GCF of Fractions 5236/128,9779/6207 is 77/794496

Least Common Multiple of 128,6207 with GCF Formula

Least Common Multiple of 128,6207 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 128,6207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,6207) = 1

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

GCF(128,6207) x common factors =1 x 1 = 1

LCM(128,6207) = ( 128 × 6207 ) / 1

LCM(128,6207) = 794496 / 1

LCM(128,6207) = 794496


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 5236/128, 9779/6207

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 5236/128, 9779/6207?

Answer: GCF of Numerators as per given numbers 5236/128, 9779/6207 is

GCF of Numerators i.e. for 5236,9779 is 77

LCM of denominators i.e. for 128,6207 is 794496.

Thus, GCF of Fractions is 77/794496.Finally, GCF of Fractions for 5236/128, 9779/6207 is 77/794496.