Greatest Common Factor of 4250/354, 9490/7517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4250/354, 9490/7517

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 4250/354,9490/7517

Given fractions are 4250/354,9490/7517

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 4250,9490

Greatest Common Factor of Numerators i.e. GCF of 4250,9490 is 10 .

LCM of Denominators means LCM of 354,7517 as per the given fractions.

LCM of 354,7517 is 2661018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4250,9490

GCF of Fractions 4250/354,9490/7517 is 10/2661018

2 4250, 9490
5 2125, 4745
425, 949

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4250,9490 By Matching Biggest Common Factor Method

Greatest Common Factor of 4250,9490 By Matching Biggest Common Factor Method

Factors of 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250

Factors of 9490

List of positive integer factors of 9490 that divides 9490 without a remainder.

1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490

Greatest Common Factor

We found the factors 4250,9490 . The biggest common factor number is the GCF number.
So the greatest common factor 4250,9490 is 10.

Lets's calculate LCM of 354,7517

Given numbers has no common factors except 1. So, there LCM is their product i.e 2661018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2661018

Therefore, the GCF of Fractions 4250/354,9490/7517 is 10/2661018

Least Common Multiple of 354,7517 with GCF Formula

Least Common Multiple of 354,7517 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 354,7517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,7517) = 1

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

GCF(354,7517) x common factors =1 x 1 = 1

LCM(354,7517) = ( 354 × 7517 ) / 1

LCM(354,7517) = 2661018 / 1

LCM(354,7517) = 2661018


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 4250/354, 9490/7517

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 4250/354, 9490/7517?

Answer: GCF of Numerators as per given numbers 4250/354, 9490/7517 is

GCF of Numerators i.e. for 4250,9490 is 10

LCM of denominators i.e. for 354,7517 is 2661018.

Thus, GCF of Fractions is 10/2661018.Finally, GCF of Fractions for 4250/354, 9490/7517 is 10/2661018.