Greatest Common Factor of 126/4216, 702/3994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 126/4216, 702/3994

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 126/4216,702/3994

Given fractions are 126/4216,702/3994

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 126,702

Greatest Common Factor of Numerators i.e. GCF of 126,702 is 18 .

LCM of Denominators means LCM of 4216,3994 as per the given fractions.

LCM of 4216,3994 is 8419352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 126,702

GCF of Fractions 126/4216,702/3994 is 18/8419352

2 126, 702
3 63, 351
3 21, 117
7, 39

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 126,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,702 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 126,702 . The biggest common factor number is the GCF number.
So the greatest common factor 126,702 is 18.

Lets's calculate LCM of 4216,3994

2 4216, 3994
2108, 1997

∴ So the LCM of the given numbers is 2 x 2108 x 1997 = 8419352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/8419352

Therefore, the GCF of Fractions 126/4216,702/3994 is 18/8419352

Least Common Multiple of 4216,3994 with GCF Formula

Least Common Multiple of 4216,3994 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 4216,3994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4216,3994) = 2

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

GCF(4216,3994) x common factors =2 x 1 = 2

LCM(4216,3994) = ( 4216 × 3994 ) / 2

LCM(4216,3994) = 16838704 / 2

LCM(4216,3994) = 8419352


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 126/4216, 702/3994

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 126/4216, 702/3994?

Answer: GCF of Numerators as per given numbers 126/4216, 702/3994 is

GCF of Numerators i.e. for 126,702 is 18

LCM of denominators i.e. for 4216,3994 is 8419352.

Thus, GCF of Fractions is 18/8419352.Finally, GCF of Fractions for 126/4216, 702/3994 is 18/8419352.