Greatest Common Factor of 6160/88, 7117/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6160/88, 7117/254

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 6160/88,7117/254

Given fractions are 6160/88,7117/254

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 6160,7117

Greatest Common Factor of Numerators i.e. GCF of 6160,7117 is 11 .

LCM of Denominators means LCM of 88,254 as per the given fractions.

LCM of 88,254 is 11176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6160,7117

GCF of Fractions 6160/88,7117/254 is 11/11176

11 6160, 7117
560, 647

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6160,7117 By Matching Biggest Common Factor Method

Greatest Common Factor of 6160,7117 By Matching Biggest Common Factor Method

Factors of 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160

Factors of 7117

List of positive integer factors of 7117 that divides 7117 without a remainder.

1,11,647,7117

Greatest Common Factor

We found the factors 6160,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 6160,7117 is 11.

Lets's calculate LCM of 88,254

2 88, 254
44, 127

∴ So the LCM of the given numbers is 2 x 44 x 127 = 11176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/11176

Therefore, the GCF of Fractions 6160/88,7117/254 is 11/11176

Least Common Multiple of 88,254 with GCF Formula

Least Common Multiple of 88,254 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 88,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,254) = 2

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

GCF(88,254) x common factors =2 x 1 = 2

LCM(88,254) = ( 88 × 254 ) / 2

LCM(88,254) = 22352 / 2

LCM(88,254) = 11176


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 6160/88, 7117/254

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 6160/88, 7117/254?

Answer: GCF of Numerators as per given numbers 6160/88, 7117/254 is

GCF of Numerators i.e. for 6160,7117 is 11

LCM of denominators i.e. for 88,254 is 11176.

Thus, GCF of Fractions is 11/11176.Finally, GCF of Fractions for 6160/88, 7117/254 is 11/11176.