Greatest Common Factor of 9562/754, 7532/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9562/754, 7532/568

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 9562/754,7532/568

Given fractions are 9562/754,7532/568

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 9562,7532

Greatest Common Factor of Numerators i.e. GCF of 9562,7532 is 14 .

LCM of Denominators means LCM of 754,568 as per the given fractions.

LCM of 754,568 is 214136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9562,7532

GCF of Fractions 9562/754,7532/568 is 14/214136

2 9562, 7532
7 4781, 3766
683, 538

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9562,7532 By Matching Biggest Common Factor Method

Greatest Common Factor of 9562,7532 By Matching Biggest Common Factor Method

Factors of 9562

List of positive integer factors of 9562 that divides 9562 without a remainder.

1,2,7,14,683,1366,4781,9562

Factors of 7532

List of positive integer factors of 7532 that divides 7532 without a remainder.

1,2,4,7,14,28,269,538,1076,1883,3766,7532

Greatest Common Factor

We found the factors 9562,7532 . The biggest common factor number is the GCF number.
So the greatest common factor 9562,7532 is 14.

Lets's calculate LCM of 754,568

2 754, 568
377, 284

∴ So the LCM of the given numbers is 2 x 377 x 284 = 214136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/214136

Therefore, the GCF of Fractions 9562/754,7532/568 is 14/214136

Least Common Multiple of 754,568 with GCF Formula

Least Common Multiple of 754,568 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 754,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,568) = 2

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

GCF(754,568) x common factors =2 x 1 = 2

LCM(754,568) = ( 754 × 568 ) / 2

LCM(754,568) = 428272 / 2

LCM(754,568) = 214136


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 9562/754, 7532/568

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 9562/754, 7532/568?

Answer: GCF of Numerators as per given numbers 9562/754, 7532/568 is

GCF of Numerators i.e. for 9562,7532 is 14

LCM of denominators i.e. for 754,568 is 214136.

Thus, GCF of Fractions is 14/214136.Finally, GCF of Fractions for 9562/754, 7532/568 is 14/214136.