Greatest Common Factor of 3714/188, 2476/6628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3714/188, 2476/6628

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 3714/188,2476/6628

Given fractions are 3714/188,2476/6628

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 3714,2476

Greatest Common Factor of Numerators i.e. GCF of 3714,2476 is 1238 .

LCM of Denominators means LCM of 188,6628 as per the given fractions.

LCM of 188,6628 is 311516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3714,2476

GCF of Fractions 3714/188,2476/6628 is 1238/311516

2 3714, 2476
619 1857, 1238
3, 2

∴ So the GCF of the given numbers is 2 x 619 = 1238

Greatest Common Factor of 3714,2476 By Matching Biggest Common Factor Method

Greatest Common Factor of 3714,2476 By Matching Biggest Common Factor Method

Factors of 3714

List of positive integer factors of 3714 that divides 3714 without a remainder.

1,2,3,6,619,1238,1857,3714

Factors of 2476

List of positive integer factors of 2476 that divides 2476 without a remainder.

1,2,4,619,1238,2476

Greatest Common Factor

We found the factors 3714,2476 . The biggest common factor number is the GCF number.
So the greatest common factor 3714,2476 is 1238.

Lets's calculate LCM of 188,6628

2 188, 6628
2 94, 3314
47, 1657

∴ So the LCM of the given numbers is 2 x 2 x 47 x 1657 = 311516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1238/311516

Therefore, the GCF of Fractions 3714/188,2476/6628 is 1238/311516

Least Common Multiple of 188,6628 with GCF Formula

Least Common Multiple of 188,6628 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 188,6628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,6628) = 4

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

GCF(188,6628) x common factors =4 x 1 = 4

LCM(188,6628) = ( 188 × 6628 ) / 4

LCM(188,6628) = 1246064 / 4

LCM(188,6628) = 311516


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 3714/188, 2476/6628

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 3714/188, 2476/6628?

Answer: GCF of Numerators as per given numbers 3714/188, 2476/6628 is

GCF of Numerators i.e. for 3714,2476 is 1238

LCM of denominators i.e. for 188,6628 is 311516.

Thus, GCF of Fractions is 1238/311516.Finally, GCF of Fractions for 3714/188, 2476/6628 is 1238/311516.