Greatest Common Factor of 9510/73, 8190/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9510/73, 8190/127

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 9510/73,8190/127

Given fractions are 9510/73,8190/127

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 9510,8190

Greatest Common Factor of Numerators i.e. GCF of 9510,8190 is 30 .

LCM of Denominators means LCM of 73,127 as per the given fractions.

LCM of 73,127 is 9271 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9510,8190

GCF of Fractions 9510/73,8190/127 is 30/9271

2 9510, 8190
3 4755, 4095
5 1585, 1365
317, 273

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 9510,8190 By Matching Biggest Common Factor Method

Greatest Common Factor of 9510,8190 By Matching Biggest Common Factor Method

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510

Factors of 8190

List of positive integer factors of 8190 that divides 8190 without a remainder.

1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190

Greatest Common Factor

We found the factors 9510,8190 . The biggest common factor number is the GCF number.
So the greatest common factor 9510,8190 is 30.

Lets's calculate LCM of 73,127

Given numbers has no common factors except 1. So, there LCM is their product i.e 9271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/9271

Therefore, the GCF of Fractions 9510/73,8190/127 is 30/9271

Least Common Multiple of 73,127 with GCF Formula

Least Common Multiple of 73,127 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 73,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,127) = 1

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

GCF(73,127) x common factors =1 x 1 = 1

LCM(73,127) = ( 73 × 127 ) / 1

LCM(73,127) = 9271 / 1

LCM(73,127) = 9271


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 9510/73, 8190/127

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 9510/73, 8190/127?

Answer: GCF of Numerators as per given numbers 9510/73, 8190/127 is

GCF of Numerators i.e. for 9510,8190 is 30

LCM of denominators i.e. for 73,127 is 9271.

Thus, GCF of Fractions is 30/9271.Finally, GCF of Fractions for 9510/73, 8190/127 is 30/9271.