Greatest Common Factor of 500/610, 8250/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 500/610, 8250/931

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 500/610,8250/931

Given fractions are 500/610,8250/931

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 500,8250

Greatest Common Factor of Numerators i.e. GCF of 500,8250 is 250 .

LCM of Denominators means LCM of 610,931 as per the given fractions.

LCM of 610,931 is 567910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 500,8250

GCF of Fractions 500/610,8250/931 is 250/567910

2 500, 8250
5 250, 4125
5 50, 825
5 10, 165
2, 33

∴ So the GCF of the given numbers is 2 x 5 x 5 x 5 = 250

Greatest Common Factor of 500,8250 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,8250 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250

Greatest Common Factor

We found the factors 500,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 500,8250 is 250.

Lets's calculate LCM of 610,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 567910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 250/567910

Therefore, the GCF of Fractions 500/610,8250/931 is 250/567910

Least Common Multiple of 610,931 with GCF Formula

Least Common Multiple of 610,931 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 610,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,931) = 1

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

GCF(610,931) x common factors =1 x 1 = 1

LCM(610,931) = ( 610 × 931 ) / 1

LCM(610,931) = 567910 / 1

LCM(610,931) = 567910


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 500/610, 8250/931

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 500/610, 8250/931?

Answer: GCF of Numerators as per given numbers 500/610, 8250/931 is

GCF of Numerators i.e. for 500,8250 is 250

LCM of denominators i.e. for 610,931 is 567910.

Thus, GCF of Fractions is 250/567910.Finally, GCF of Fractions for 500/610, 8250/931 is 250/567910.