Greatest Common Factor of 870/37, 527/50, 302/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/37, 527/50, 302/741

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 870/37,527/50,302/741

Given fractions are 870/37,527/50,302/741

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 870,527,302

Greatest Common Factor of Numerators i.e. GCF of 870,527,302 is 1 .

LCM of Denominators means LCM of 37,50,741 as per the given fractions.

LCM of 37,50,741 is 1370850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,527,302

GCF of Fractions 870/37,527/50,302/741 is 1/1370850

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

Greatest Common Factor of 870,527,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,527,302 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 527

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

1,17,31,527

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 870,527,302 . The biggest common factor number is the GCF number.
So the greatest common factor 870,527,302 is 1.

Lets's calculate LCM of 37,50,741

Given numbers has no common factors except 1. So, there LCM is their product i.e 1370850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1370850

Therefore, the GCF of Fractions 870/37,527/50,302/741 is 1/1370850

Least Common Multiple of 37,50,741 with GCF Formula

Least Common Multiple of 37,50,741 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 37,50,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,50,741) = 1

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

GCF(37,50,741) x common factors =1 x 1 = 1

LCM(37,50,741) = ( 37 × 50 × 741 ) / 1

LCM(37,50,741) = 1370850 / 1

LCM(37,50,741) = 1370850


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 870/37, 527/50, 302/741

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 870/37, 527/50, 302/741?

Answer: GCF of Numerators as per given numbers 870/37, 527/50, 302/741 is

GCF of Numerators i.e. for 870,527,302 is 1

LCM of denominators i.e. for 37,50,741 is 1370850.

Thus, GCF of Fractions is 1/1370850.Finally, GCF of Fractions for 870/37, 527/50, 302/741 is 1/1370850.