Greatest Common Factor of 6696/67, 7142/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6696/67, 7142/662

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 6696/67,7142/662

Given fractions are 6696/67,7142/662

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 6696,7142

Greatest Common Factor of Numerators i.e. GCF of 6696,7142 is 2 .

LCM of Denominators means LCM of 67,662 as per the given fractions.

LCM of 67,662 is 44354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6696,7142

GCF of Fractions 6696/67,7142/662 is 2/44354

2 6696, 7142
3348, 3571

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

Greatest Common Factor of 6696,7142 By Matching Biggest Common Factor Method

Greatest Common Factor of 6696,7142 By Matching Biggest Common Factor Method

Factors of 6696

List of positive integer factors of 6696 that divides 6696 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696

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 6696,7142 . The biggest common factor number is the GCF number.
So the greatest common factor 6696,7142 is 2.

Lets's calculate LCM of 67,662

Given numbers has no common factors except 1. So, there LCM is their product i.e 44354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44354

Therefore, the GCF of Fractions 6696/67,7142/662 is 2/44354

Least Common Multiple of 67,662 with GCF Formula

Least Common Multiple of 67,662 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 67,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,662) = 1

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

GCF(67,662) x common factors =1 x 1 = 1

LCM(67,662) = ( 67 × 662 ) / 1

LCM(67,662) = 44354 / 1

LCM(67,662) = 44354


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 6696/67, 7142/662

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 6696/67, 7142/662?

Answer: GCF of Numerators as per given numbers 6696/67, 7142/662 is

GCF of Numerators i.e. for 6696,7142 is 2

LCM of denominators i.e. for 67,662 is 44354.

Thus, GCF of Fractions is 2/44354.Finally, GCF of Fractions for 6696/67, 7142/662 is 2/44354.