Greatest Common Factor of 4240/874, 3712/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4240/874, 3712/466

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 4240/874,3712/466

Given fractions are 4240/874,3712/466

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 4240,3712

Greatest Common Factor of Numerators i.e. GCF of 4240,3712 is 16 .

LCM of Denominators means LCM of 874,466 as per the given fractions.

LCM of 874,466 is 203642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4240,3712

GCF of Fractions 4240/874,3712/466 is 16/203642

2 4240, 3712
2 2120, 1856
2 1060, 928
2 530, 464
265, 232

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 4240,3712 By Matching Biggest Common Factor Method

Greatest Common Factor of 4240,3712 By Matching Biggest Common Factor Method

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240

Factors of 3712

List of positive integer factors of 3712 that divides 3712 without a remainder.

1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712

Greatest Common Factor

We found the factors 4240,3712 . The biggest common factor number is the GCF number.
So the greatest common factor 4240,3712 is 16.

Lets's calculate LCM of 874,466

2 874, 466
437, 233

∴ So the LCM of the given numbers is 2 x 437 x 233 = 203642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/203642

Therefore, the GCF of Fractions 4240/874,3712/466 is 16/203642

Least Common Multiple of 874,466 with GCF Formula

Least Common Multiple of 874,466 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 874,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,466) = 2

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

GCF(874,466) x common factors =2 x 1 = 2

LCM(874,466) = ( 874 × 466 ) / 2

LCM(874,466) = 407284 / 2

LCM(874,466) = 203642


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 4240/874, 3712/466

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 4240/874, 3712/466?

Answer: GCF of Numerators as per given numbers 4240/874, 3712/466 is

GCF of Numerators i.e. for 4240,3712 is 16

LCM of denominators i.e. for 874,466 is 203642.

Thus, GCF of Fractions is 16/203642.Finally, GCF of Fractions for 4240/874, 3712/466 is 16/203642.