Greatest Common Factor of 748/37, 660/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/37, 660/584

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 748/37,660/584

Given fractions are 748/37,660/584

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 748,660

Greatest Common Factor of Numerators i.e. GCF of 748,660 is 44 .

LCM of Denominators means LCM of 37,584 as per the given fractions.

LCM of 37,584 is 21608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,660

GCF of Fractions 748/37,660/584 is 44/21608

2 748, 660
2 374, 330
11 187, 165
17, 15

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 748,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,660 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 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 748,660 . The biggest common factor number is the GCF number.
So the greatest common factor 748,660 is 44.

Lets's calculate LCM of 37,584

Given numbers has no common factors except 1. So, there LCM is their product i.e 21608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/21608

Therefore, the GCF of Fractions 748/37,660/584 is 44/21608

Least Common Multiple of 37,584 with GCF Formula

Least Common Multiple of 37,584 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 37,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,584) = 1

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

GCF(37,584) x common factors =1 x 1 = 1

LCM(37,584) = ( 37 × 584 ) / 1

LCM(37,584) = 21608 / 1

LCM(37,584) = 21608


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 748/37, 660/584

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 748/37, 660/584?

Answer: GCF of Numerators as per given numbers 748/37, 660/584 is

GCF of Numerators i.e. for 748,660 is 44

LCM of denominators i.e. for 37,584 is 21608.

Thus, GCF of Fractions is 44/21608.Finally, GCF of Fractions for 748/37, 660/584 is 44/21608.