Greatest Common Factor of 7792/602, 6080/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7792/602, 6080/634

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 7792/602,6080/634

Given fractions are 7792/602,6080/634

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 7792,6080

Greatest Common Factor of Numerators i.e. GCF of 7792,6080 is 16 .

LCM of Denominators means LCM of 602,634 as per the given fractions.

LCM of 602,634 is 190834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7792,6080

GCF of Fractions 7792/602,6080/634 is 16/190834

2 7792, 6080
2 3896, 3040
2 1948, 1520
2 974, 760
487, 380

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 7792,6080 By Matching Biggest Common Factor Method

Greatest Common Factor of 7792,6080 By Matching Biggest Common Factor Method

Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1,2,4,8,16,487,974,1948,3896,7792

Factors of 6080

List of positive integer factors of 6080 that divides 6080 without a remainder.

1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080

Greatest Common Factor

We found the factors 7792,6080 . The biggest common factor number is the GCF number.
So the greatest common factor 7792,6080 is 16.

Lets's calculate LCM of 602,634

2 602, 634
301, 317

∴ So the LCM of the given numbers is 2 x 301 x 317 = 190834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/190834

Therefore, the GCF of Fractions 7792/602,6080/634 is 16/190834

Least Common Multiple of 602,634 with GCF Formula

Least Common Multiple of 602,634 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 602,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,634) = 2

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

GCF(602,634) x common factors =2 x 1 = 2

LCM(602,634) = ( 602 × 634 ) / 2

LCM(602,634) = 381668 / 2

LCM(602,634) = 190834


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 7792/602, 6080/634

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 7792/602, 6080/634?

Answer: GCF of Numerators as per given numbers 7792/602, 6080/634 is

GCF of Numerators i.e. for 7792,6080 is 16

LCM of denominators i.e. for 602,634 is 190834.

Thus, GCF of Fractions is 16/190834.Finally, GCF of Fractions for 7792/602, 6080/634 is 16/190834.