Greatest Common Factor of 3874/488, 3526/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3874/488, 3526/892

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 3874/488,3526/892

Given fractions are 3874/488,3526/892

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 3874,3526

Greatest Common Factor of Numerators i.e. GCF of 3874,3526 is 2 .

LCM of Denominators means LCM of 488,892 as per the given fractions.

LCM of 488,892 is 108824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3874,3526

GCF of Fractions 3874/488,3526/892 is 2/108824

2 3874, 3526
1937, 1763

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

Greatest Common Factor of 3874,3526 By Matching Biggest Common Factor Method

Greatest Common Factor of 3874,3526 By Matching Biggest Common Factor Method

Factors of 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1,2,13,26,149,298,1937,3874

Factors of 3526

List of positive integer factors of 3526 that divides 3526 without a remainder.

1,2,41,43,82,86,1763,3526

Greatest Common Factor

We found the factors 3874,3526 . The biggest common factor number is the GCF number.
So the greatest common factor 3874,3526 is 2.

Lets's calculate LCM of 488,892

2 488, 892
2 244, 446
122, 223

∴ So the LCM of the given numbers is 2 x 2 x 122 x 223 = 108824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108824

Therefore, the GCF of Fractions 3874/488,3526/892 is 2/108824

Least Common Multiple of 488,892 with GCF Formula

Least Common Multiple of 488,892 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 488,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,892) = 4

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

GCF(488,892) x common factors =4 x 1 = 4

LCM(488,892) = ( 488 × 892 ) / 4

LCM(488,892) = 435296 / 4

LCM(488,892) = 108824


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 3874/488, 3526/892

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 3874/488, 3526/892?

Answer: GCF of Numerators as per given numbers 3874/488, 3526/892 is

GCF of Numerators i.e. for 3874,3526 is 2

LCM of denominators i.e. for 488,892 is 108824.

Thus, GCF of Fractions is 2/108824.Finally, GCF of Fractions for 3874/488, 3526/892 is 2/108824.