Greatest Common Factor of 37/524, 74/978, 856/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/524, 74/978, 856/860

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 37/524,74/978,856/860

Given fractions are 37/524,74/978,856/860

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 37,74,856

Greatest Common Factor of Numerators i.e. GCF of 37,74,856 is 1 .

LCM of Denominators means LCM of 524,978,860 as per the given fractions.

LCM of 524,978,860 is 55090740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,74,856

GCF of Fractions 37/524,74/978,856/860 is 1/55090740

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

Greatest Common Factor of 37,74,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,74,856 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 37,74,856 . The biggest common factor number is the GCF number.
So the greatest common factor 37,74,856 is 1.

Lets's calculate LCM of 524,978,860

2 524, 978, 860
2 262, 489, 430
131, 489, 215

∴ So the LCM of the given numbers is 2 x 2 x 131 x 489 x 215 = 55090740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55090740

Therefore, the GCF of Fractions 37/524,74/978,856/860 is 1/55090740

Least Common Multiple of 524,978,860 with GCF Formula

Least Common Multiple of 524,978,860 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 524,978,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,978,860) = 2

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

GCF(524,978,860) x common factors =2 x 4 = 8

LCM(524,978,860) = ( 524 × 978 × 860 ) / 8

LCM(524,978,860) = 440725920 / 8

LCM(524,978,860) = 55090740


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 37/524, 74/978, 856/860

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 37/524, 74/978, 856/860?

Answer: GCF of Numerators as per given numbers 37/524, 74/978, 856/860 is

GCF of Numerators i.e. for 37,74,856 is 1

LCM of denominators i.e. for 524,978,860 is 55090740.

Thus, GCF of Fractions is 1/55090740.Finally, GCF of Fractions for 37/524, 74/978, 856/860 is 1/55090740.