Greatest Common Factor of 37/13, 91/77, 792/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/13, 91/77, 792/366

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 37/13,91/77,792/366

Given fractions are 37/13,91/77,792/366

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 37,91,792

Greatest Common Factor of Numerators i.e. GCF of 37,91,792 is 1 .

LCM of Denominators means LCM of 13,77,366 as per the given fractions.

LCM of 13,77,366 is 366366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,91,792

GCF of Fractions 37/13,91/77,792/366 is 1/366366

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 37,91,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,91,792 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 37,91,792 . The biggest common factor number is the GCF number.
So the greatest common factor 37,91,792 is 1.

Lets's calculate LCM of 13,77,366

Given numbers has no common factors except 1. So, there LCM is their product i.e 366366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366366

Therefore, the GCF of Fractions 37/13,91/77,792/366 is 1/366366

Least Common Multiple of 13,77,366 with GCF Formula

Least Common Multiple of 13,77,366 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 13,77,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,77,366) = 1

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

GCF(13,77,366) x common factors =1 x 1 = 1

LCM(13,77,366) = ( 13 × 77 × 366 ) / 1

LCM(13,77,366) = 366366 / 1

LCM(13,77,366) = 366366


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 37/13, 91/77, 792/366

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 37/13, 91/77, 792/366?

Answer: GCF of Numerators as per given numbers 37/13, 91/77, 792/366 is

GCF of Numerators i.e. for 37,91,792 is 1

LCM of denominators i.e. for 13,77,366 is 366366.

Thus, GCF of Fractions is 1/366366.Finally, GCF of Fractions for 37/13, 91/77, 792/366 is 1/366366.