Greatest Common Factor of 525/73, 870/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 525/73, 870/973

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 525/73,870/973

Given fractions are 525/73,870/973

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 525,870

Greatest Common Factor of Numerators i.e. GCF of 525,870 is 15 .

LCM of Denominators means LCM of 73,973 as per the given fractions.

LCM of 73,973 is 71029 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 525,870

GCF of Fractions 525/73,870/973 is 15/71029

3 525, 870
5 175, 290
35, 58

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 525,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,870 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

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

Greatest Common Factor

We found the factors 525,870 . The biggest common factor number is the GCF number.
So the greatest common factor 525,870 is 15.

Lets's calculate LCM of 73,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 71029

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/71029

Therefore, the GCF of Fractions 525/73,870/973 is 15/71029

Least Common Multiple of 73,973 with GCF Formula

Least Common Multiple of 73,973 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 73,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,973) = 1

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

GCF(73,973) x common factors =1 x 1 = 1

LCM(73,973) = ( 73 × 973 ) / 1

LCM(73,973) = 71029 / 1

LCM(73,973) = 71029


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 525/73, 870/973

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 525/73, 870/973?

Answer: GCF of Numerators as per given numbers 525/73, 870/973 is

GCF of Numerators i.e. for 525,870 is 15

LCM of denominators i.e. for 73,973 is 71029.

Thus, GCF of Fractions is 15/71029.Finally, GCF of Fractions for 525/73, 870/973 is 15/71029.