Greatest Common Factor of 6344/86, 4697/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6344/86, 4697/738

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 6344/86,4697/738

Given fractions are 6344/86,4697/738

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 6344,4697

Greatest Common Factor of Numerators i.e. GCF of 6344,4697 is 61 .

LCM of Denominators means LCM of 86,738 as per the given fractions.

LCM of 86,738 is 31734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6344,4697

GCF of Fractions 6344/86,4697/738 is 61/31734

61 6344, 4697
104, 77

∴ So the GCF of the given numbers is 61 = 61

Greatest Common Factor of 6344,4697 By Matching Biggest Common Factor Method

Greatest Common Factor of 6344,4697 By Matching Biggest Common Factor Method

Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344

Factors of 4697

List of positive integer factors of 4697 that divides 4697 without a remainder.

1,7,11,61,77,427,671,4697

Greatest Common Factor

We found the factors 6344,4697 . The biggest common factor number is the GCF number.
So the greatest common factor 6344,4697 is 61.

Lets's calculate LCM of 86,738

2 86, 738
43, 369

∴ So the LCM of the given numbers is 2 x 43 x 369 = 31734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/31734

Therefore, the GCF of Fractions 6344/86,4697/738 is 61/31734

Least Common Multiple of 86,738 with GCF Formula

Least Common Multiple of 86,738 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 86,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,738) = 2

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

GCF(86,738) x common factors =2 x 1 = 2

LCM(86,738) = ( 86 × 738 ) / 2

LCM(86,738) = 63468 / 2

LCM(86,738) = 31734


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 6344/86, 4697/738

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 6344/86, 4697/738?

Answer: GCF of Numerators as per given numbers 6344/86, 4697/738 is

GCF of Numerators i.e. for 6344,4697 is 61

LCM of denominators i.e. for 86,738 is 31734.

Thus, GCF of Fractions is 61/31734.Finally, GCF of Fractions for 6344/86, 4697/738 is 61/31734.