Greatest Common Factor of 8200/950, 7560/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8200/950, 7560/524

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 8200/950,7560/524

Given fractions are 8200/950,7560/524

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 8200,7560

Greatest Common Factor of Numerators i.e. GCF of 8200,7560 is 40 .

LCM of Denominators means LCM of 950,524 as per the given fractions.

LCM of 950,524 is 248900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8200,7560

GCF of Fractions 8200/950,7560/524 is 40/248900

2 8200, 7560
2 4100, 3780
2 2050, 1890
5 1025, 945
205, 189

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 8200,7560 By Matching Biggest Common Factor Method

Greatest Common Factor of 8200,7560 By Matching Biggest Common Factor Method

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560

Greatest Common Factor

We found the factors 8200,7560 . The biggest common factor number is the GCF number.
So the greatest common factor 8200,7560 is 40.

Lets's calculate LCM of 950,524

2 950, 524
475, 262

∴ So the LCM of the given numbers is 2 x 475 x 262 = 248900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/248900

Therefore, the GCF of Fractions 8200/950,7560/524 is 40/248900

Least Common Multiple of 950,524 with GCF Formula

Least Common Multiple of 950,524 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 950,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,524) = 2

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

GCF(950,524) x common factors =2 x 1 = 2

LCM(950,524) = ( 950 × 524 ) / 2

LCM(950,524) = 497800 / 2

LCM(950,524) = 248900


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 8200/950, 7560/524

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 8200/950, 7560/524?

Answer: GCF of Numerators as per given numbers 8200/950, 7560/524 is

GCF of Numerators i.e. for 8200,7560 is 40

LCM of denominators i.e. for 950,524 is 248900.

Thus, GCF of Fractions is 40/248900.Finally, GCF of Fractions for 8200/950, 7560/524 is 40/248900.