Greatest Common Factor of 55/77, 31/40, 911/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/77, 31/40, 911/970

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 55/77,31/40,911/970

Given fractions are 55/77,31/40,911/970

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 55,31,911

Greatest Common Factor of Numerators i.e. GCF of 55,31,911 is 1 .

LCM of Denominators means LCM of 77,40,970 as per the given fractions.

LCM of 77,40,970 is 298760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,31,911

GCF of Fractions 55/77,31/40,911/970 is 1/298760

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

Greatest Common Factor of 55,31,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,31,911 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 55,31,911 . The biggest common factor number is the GCF number.
So the greatest common factor 55,31,911 is 1.

Lets's calculate LCM of 77,40,970

2 77, 40, 970
5 77, 20, 485
77, 4, 97

∴ So the LCM of the given numbers is 2 x 5 x 77 x 4 x 97 = 298760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298760

Therefore, the GCF of Fractions 55/77,31/40,911/970 is 1/298760

Least Common Multiple of 77,40,970 with GCF Formula

Least Common Multiple of 77,40,970 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 77,40,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,40,970) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(77,40,970) x common factors =1 x 10 = 10

LCM(77,40,970) = ( 77 × 40 × 970 ) / 10

LCM(77,40,970) = 2987600 / 10

LCM(77,40,970) = 298760


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 55/77, 31/40, 911/970

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 55/77, 31/40, 911/970?

Answer: GCF of Numerators as per given numbers 55/77, 31/40, 911/970 is

GCF of Numerators i.e. for 55,31,911 is 1

LCM of denominators i.e. for 77,40,970 is 298760.

Thus, GCF of Fractions is 1/298760.Finally, GCF of Fractions for 55/77, 31/40, 911/970 is 1/298760.