Greatest Common Factor of 9255/175, 8700/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9255/175, 8700/927

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 9255/175,8700/927

Given fractions are 9255/175,8700/927

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 9255,8700

Greatest Common Factor of Numerators i.e. GCF of 9255,8700 is 15 .

LCM of Denominators means LCM of 175,927 as per the given fractions.

LCM of 175,927 is 162225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9255,8700

GCF of Fractions 9255/175,8700/927 is 15/162225

3 9255, 8700
5 3085, 2900
617, 580

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

Greatest Common Factor of 9255,8700 By Matching Biggest Common Factor Method

Greatest Common Factor of 9255,8700 By Matching Biggest Common Factor Method

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1,3,5,15,617,1851,3085,9255

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700

Greatest Common Factor

We found the factors 9255,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 9255,8700 is 15.

Lets's calculate LCM of 175,927

Given numbers has no common factors except 1. So, there LCM is their product i.e 162225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/162225

Therefore, the GCF of Fractions 9255/175,8700/927 is 15/162225

Least Common Multiple of 175,927 with GCF Formula

Least Common Multiple of 175,927 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 175,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,927) = 1

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

GCF(175,927) x common factors =1 x 1 = 1

LCM(175,927) = ( 175 × 927 ) / 1

LCM(175,927) = 162225 / 1

LCM(175,927) = 162225


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 9255/175, 8700/927

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 9255/175, 8700/927?

Answer: GCF of Numerators as per given numbers 9255/175, 8700/927 is

GCF of Numerators i.e. for 9255,8700 is 15

LCM of denominators i.e. for 175,927 is 162225.

Thus, GCF of Fractions is 15/162225.Finally, GCF of Fractions for 9255/175, 8700/927 is 15/162225.