Greatest Common Factor of 608/20, 532/9750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 608/20, 532/9750

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 608/20,532/9750

Given fractions are 608/20,532/9750

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 608,532

Greatest Common Factor of Numerators i.e. GCF of 608,532 is 76 .

LCM of Denominators means LCM of 20,9750 as per the given fractions.

LCM of 20,9750 is 19500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 608,532

GCF of Fractions 608/20,532/9750 is 76/19500

2 608, 532
2 304, 266
19 152, 133
8, 7

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Greatest Common Factor of 608,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,532 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 608,532 . The biggest common factor number is the GCF number.
So the greatest common factor 608,532 is 76.

Lets's calculate LCM of 20,9750

2 20, 9750
5 10, 4875
2, 975

∴ So the LCM of the given numbers is 2 x 5 x 2 x 975 = 19500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/19500

Therefore, the GCF of Fractions 608/20,532/9750 is 76/19500

Least Common Multiple of 20,9750 with GCF Formula

Least Common Multiple of 20,9750 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 20,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,9750) = 10

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

GCF(20,9750) x common factors =10 x 1 = 10

LCM(20,9750) = ( 20 × 9750 ) / 10

LCM(20,9750) = 195000 / 10

LCM(20,9750) = 19500


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 608/20, 532/9750

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 608/20, 532/9750?

Answer: GCF of Numerators as per given numbers 608/20, 532/9750 is

GCF of Numerators i.e. for 608,532 is 76

LCM of denominators i.e. for 20,9750 is 19500.

Thus, GCF of Fractions is 76/19500.Finally, GCF of Fractions for 608/20, 532/9750 is 76/19500.