Greatest Common Factor of 3712/768, 4724/3475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3712/768, 4724/3475

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 3712/768,4724/3475

Given fractions are 3712/768,4724/3475

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 3712,4724

Greatest Common Factor of Numerators i.e. GCF of 3712,4724 is 4 .

LCM of Denominators means LCM of 768,3475 as per the given fractions.

LCM of 768,3475 is 2668800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3712,4724

GCF of Fractions 3712/768,4724/3475 is 4/2668800

2 3712, 4724
2 1856, 2362
928, 1181

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3712,4724 By Matching Biggest Common Factor Method

Greatest Common Factor of 3712,4724 By Matching Biggest Common Factor Method

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

Factors of 4724

List of positive integer factors of 4724 that divides 4724 without a remainder.

1,2,4,1181,2362,4724

Greatest Common Factor

We found the factors 3712,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 3712,4724 is 4.

Lets's calculate LCM of 768,3475

Given numbers has no common factors except 1. So, there LCM is their product i.e 2668800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2668800

Therefore, the GCF of Fractions 3712/768,4724/3475 is 4/2668800

Least Common Multiple of 768,3475 with GCF Formula

Least Common Multiple of 768,3475 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 768,3475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,3475) = 1

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

GCF(768,3475) x common factors =1 x 1 = 1

LCM(768,3475) = ( 768 × 3475 ) / 1

LCM(768,3475) = 2668800 / 1

LCM(768,3475) = 2668800


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 3712/768, 4724/3475

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 3712/768, 4724/3475?

Answer: GCF of Numerators as per given numbers 3712/768, 4724/3475 is

GCF of Numerators i.e. for 3712,4724 is 4

LCM of denominators i.e. for 768,3475 is 2668800.

Thus, GCF of Fractions is 4/2668800.Finally, GCF of Fractions for 3712/768, 4724/3475 is 4/2668800.