Greatest Common Factor of 9310/598, 5650/5566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9310/598, 5650/5566

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 9310/598,5650/5566

Given fractions are 9310/598,5650/5566

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 9310,5650

Greatest Common Factor of Numerators i.e. GCF of 9310,5650 is 10 .

LCM of Denominators means LCM of 598,5566 as per the given fractions.

LCM of 598,5566 is 72358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9310,5650

GCF of Fractions 9310/598,5650/5566 is 10/72358

2 9310, 5650
5 4655, 2825
931, 565

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

Greatest Common Factor of 9310,5650 By Matching Biggest Common Factor Method

Greatest Common Factor of 9310,5650 By Matching Biggest Common Factor Method

Factors of 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310

Factors of 5650

List of positive integer factors of 5650 that divides 5650 without a remainder.

1,2,5,10,25,50,113,226,565,1130,2825,5650

Greatest Common Factor

We found the factors 9310,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 9310,5650 is 10.

Lets's calculate LCM of 598,5566

2 598, 5566
23 299, 2783
13, 121

∴ So the LCM of the given numbers is 2 x 23 x 13 x 121 = 72358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/72358

Therefore, the GCF of Fractions 9310/598,5650/5566 is 10/72358

Least Common Multiple of 598,5566 with GCF Formula

Least Common Multiple of 598,5566 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 598,5566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,5566) = 46

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

GCF(598,5566) x common factors =46 x 1 = 46

LCM(598,5566) = ( 598 × 5566 ) / 46

LCM(598,5566) = 3328468 / 46

LCM(598,5566) = 72358


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 9310/598, 5650/5566

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 9310/598, 5650/5566?

Answer: GCF of Numerators as per given numbers 9310/598, 5650/5566 is

GCF of Numerators i.e. for 9310,5650 is 10

LCM of denominators i.e. for 598,5566 is 72358.

Thus, GCF of Fractions is 10/72358.Finally, GCF of Fractions for 9310/598, 5650/5566 is 10/72358.