Greatest Common Factor of 3892/78, 4258/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3892/78, 4258/672

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 3892/78,4258/672

Given fractions are 3892/78,4258/672

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 3892,4258

Greatest Common Factor of Numerators i.e. GCF of 3892,4258 is 2 .

LCM of Denominators means LCM of 78,672 as per the given fractions.

LCM of 78,672 is 8736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3892,4258

GCF of Fractions 3892/78,4258/672 is 2/8736

2 3892, 4258
1946, 2129

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

Greatest Common Factor of 3892,4258 By Matching Biggest Common Factor Method

Greatest Common Factor of 3892,4258 By Matching Biggest Common Factor Method

Factors of 3892

List of positive integer factors of 3892 that divides 3892 without a remainder.

1,2,4,7,14,28,139,278,556,973,1946,3892

Factors of 4258

List of positive integer factors of 4258 that divides 4258 without a remainder.

1,2,2129,4258

Greatest Common Factor

We found the factors 3892,4258 . The biggest common factor number is the GCF number.
So the greatest common factor 3892,4258 is 2.

Lets's calculate LCM of 78,672

2 78, 672
3 39, 336
13, 112

∴ So the LCM of the given numbers is 2 x 3 x 13 x 112 = 8736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8736

Therefore, the GCF of Fractions 3892/78,4258/672 is 2/8736

Least Common Multiple of 78,672 with GCF Formula

Least Common Multiple of 78,672 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 78,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,672) = 6

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

GCF(78,672) x common factors =6 x 1 = 6

LCM(78,672) = ( 78 × 672 ) / 6

LCM(78,672) = 52416 / 6

LCM(78,672) = 8736


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 3892/78, 4258/672

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 3892/78, 4258/672?

Answer: GCF of Numerators as per given numbers 3892/78, 4258/672 is

GCF of Numerators i.e. for 3892,4258 is 2

LCM of denominators i.e. for 78,672 is 8736.

Thus, GCF of Fractions is 2/8736.Finally, GCF of Fractions for 3892/78, 4258/672 is 2/8736.