Greatest Common Factor of 9510/334, 5016/3067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9510/334, 5016/3067

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 9510/334,5016/3067

Given fractions are 9510/334,5016/3067

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 9510,5016

Greatest Common Factor of Numerators i.e. GCF of 9510,5016 is 6 .

LCM of Denominators means LCM of 334,3067 as per the given fractions.

LCM of 334,3067 is 1024378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9510,5016

GCF of Fractions 9510/334,5016/3067 is 6/1024378

2 9510, 5016
3 4755, 2508
1585, 836

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9510,5016 By Matching Biggest Common Factor Method

Greatest Common Factor of 9510,5016 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 5016

List of positive integer factors of 5016 that divides 5016 without a remainder.

1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016

Greatest Common Factor

We found the factors 9510,5016 . The biggest common factor number is the GCF number.
So the greatest common factor 9510,5016 is 6.

Lets's calculate LCM of 334,3067

Given numbers has no common factors except 1. So, there LCM is their product i.e 1024378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1024378

Therefore, the GCF of Fractions 9510/334,5016/3067 is 6/1024378

Least Common Multiple of 334,3067 with GCF Formula

Least Common Multiple of 334,3067 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 334,3067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,3067) = 1

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

GCF(334,3067) x common factors =1 x 1 = 1

LCM(334,3067) = ( 334 × 3067 ) / 1

LCM(334,3067) = 1024378 / 1

LCM(334,3067) = 1024378


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 9510/334, 5016/3067

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 9510/334, 5016/3067?

Answer: GCF of Numerators as per given numbers 9510/334, 5016/3067 is

GCF of Numerators i.e. for 9510,5016 is 6

LCM of denominators i.e. for 334,3067 is 1024378.

Thus, GCF of Fractions is 6/1024378.Finally, GCF of Fractions for 9510/334, 5016/3067 is 6/1024378.