Greatest Common Factor of 9500/182, 7800/7461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9500/182, 7800/7461

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 9500/182,7800/7461

Given fractions are 9500/182,7800/7461

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 9500,7800

Greatest Common Factor of Numerators i.e. GCF of 9500,7800 is 100 .

LCM of Denominators means LCM of 182,7461 as per the given fractions.

LCM of 182,7461 is 1357902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9500,7800

GCF of Fractions 9500/182,7800/7461 is 100/1357902

2 9500, 7800
2 4750, 3900
5 2375, 1950
5 475, 390
95, 78

∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100

Greatest Common Factor of 9500,7800 By Matching Biggest Common Factor Method

Greatest Common Factor of 9500,7800 By Matching Biggest Common Factor Method

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800

Greatest Common Factor

We found the factors 9500,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 9500,7800 is 100.

Lets's calculate LCM of 182,7461

Given numbers has no common factors except 1. So, there LCM is their product i.e 1357902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/1357902

Therefore, the GCF of Fractions 9500/182,7800/7461 is 100/1357902

Least Common Multiple of 182,7461 with GCF Formula

Least Common Multiple of 182,7461 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 182,7461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,7461) = 1

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

GCF(182,7461) x common factors =1 x 1 = 1

LCM(182,7461) = ( 182 × 7461 ) / 1

LCM(182,7461) = 1357902 / 1

LCM(182,7461) = 1357902


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 9500/182, 7800/7461

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 9500/182, 7800/7461?

Answer: GCF of Numerators as per given numbers 9500/182, 7800/7461 is

GCF of Numerators i.e. for 9500,7800 is 100

LCM of denominators i.e. for 182,7461 is 1357902.

Thus, GCF of Fractions is 100/1357902.Finally, GCF of Fractions for 9500/182, 7800/7461 is 100/1357902.