Greatest Common Factor of 6328/88, 7142/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6328/88, 7142/171

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 6328/88,7142/171

Given fractions are 6328/88,7142/171

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 6328,7142

Greatest Common Factor of Numerators i.e. GCF of 6328,7142 is 2 .

LCM of Denominators means LCM of 88,171 as per the given fractions.

LCM of 88,171 is 15048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6328,7142

GCF of Fractions 6328/88,7142/171 is 2/15048

2 6328, 7142
3164, 3571

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

Greatest Common Factor of 6328,7142 By Matching Biggest Common Factor Method

Greatest Common Factor of 6328,7142 By Matching Biggest Common Factor Method

Factors of 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328

Factors of 7142

List of positive integer factors of 7142 that divides 7142 without a remainder.

1,2,3571,7142

Greatest Common Factor

We found the factors 6328,7142 . The biggest common factor number is the GCF number.
So the greatest common factor 6328,7142 is 2.

Lets's calculate LCM of 88,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 15048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15048

Therefore, the GCF of Fractions 6328/88,7142/171 is 2/15048

Least Common Multiple of 88,171 with GCF Formula

Least Common Multiple of 88,171 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 88,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,171) = 1

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

GCF(88,171) x common factors =1 x 1 = 1

LCM(88,171) = ( 88 × 171 ) / 1

LCM(88,171) = 15048 / 1

LCM(88,171) = 15048


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 6328/88, 7142/171

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 6328/88, 7142/171?

Answer: GCF of Numerators as per given numbers 6328/88, 7142/171 is

GCF of Numerators i.e. for 6328,7142 is 2

LCM of denominators i.e. for 88,171 is 15048.

Thus, GCF of Fractions is 2/15048.Finally, GCF of Fractions for 6328/88, 7142/171 is 2/15048.