Greatest Common Factor of 527/44, 912/37, 343/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 527/44, 912/37, 343/140

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 527/44,912/37,343/140

Given fractions are 527/44,912/37,343/140

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 527,912,343

Greatest Common Factor of Numerators i.e. GCF of 527,912,343 is 1 .

LCM of Denominators means LCM of 44,37,140 as per the given fractions.

LCM of 44,37,140 is 56980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 527,912,343

GCF of Fractions 527/44,912/37,343/140 is 1/56980

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

Greatest Common Factor of 527,912,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,912,343 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 527,912,343 . The biggest common factor number is the GCF number.
So the greatest common factor 527,912,343 is 1.

Lets's calculate LCM of 44,37,140

2 44, 37, 140
2 22, 37, 70
11, 37, 35

∴ So the LCM of the given numbers is 2 x 2 x 11 x 37 x 35 = 56980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56980

Therefore, the GCF of Fractions 527/44,912/37,343/140 is 1/56980

Least Common Multiple of 44,37,140 with GCF Formula

Least Common Multiple of 44,37,140 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 44,37,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,37,140) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,37,140) x common factors =1 x 4 = 4

LCM(44,37,140) = ( 44 × 37 × 140 ) / 4

LCM(44,37,140) = 227920 / 4

LCM(44,37,140) = 56980


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 527/44, 912/37, 343/140

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 527/44, 912/37, 343/140?

Answer: GCF of Numerators as per given numbers 527/44, 912/37, 343/140 is

GCF of Numerators i.e. for 527,912,343 is 1

LCM of denominators i.e. for 44,37,140 is 56980.

Thus, GCF of Fractions is 1/56980.Finally, GCF of Fractions for 527/44, 912/37, 343/140 is 1/56980.