Greatest Common Factor of 748/596, 5644/4415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/596, 5644/4415

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 748/596,5644/4415

Given fractions are 748/596,5644/4415

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 748,5644

Greatest Common Factor of Numerators i.e. GCF of 748,5644 is 68 .

LCM of Denominators means LCM of 596,4415 as per the given fractions.

LCM of 596,4415 is 2631340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,5644

GCF of Fractions 748/596,5644/4415 is 68/2631340

2 748, 5644
2 374, 2822
17 187, 1411
11, 83

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Greatest Common Factor of 748,5644 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,5644 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

Greatest Common Factor

We found the factors 748,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 748,5644 is 68.

Lets's calculate LCM of 596,4415

Given numbers has no common factors except 1. So, there LCM is their product i.e 2631340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/2631340

Therefore, the GCF of Fractions 748/596,5644/4415 is 68/2631340

Least Common Multiple of 596,4415 with GCF Formula

Least Common Multiple of 596,4415 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 596,4415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,4415) = 1

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

GCF(596,4415) x common factors =1 x 1 = 1

LCM(596,4415) = ( 596 × 4415 ) / 1

LCM(596,4415) = 2631340 / 1

LCM(596,4415) = 2631340


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 748/596, 5644/4415

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 748/596, 5644/4415?

Answer: GCF of Numerators as per given numbers 748/596, 5644/4415 is

GCF of Numerators i.e. for 748,5644 is 68

LCM of denominators i.e. for 596,4415 is 2631340.

Thus, GCF of Fractions is 68/2631340.Finally, GCF of Fractions for 748/596, 5644/4415 is 68/2631340.