Greatest Common Factor of 189/131, 780/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 189/131, 780/463

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 189/131,780/463

Given fractions are 189/131,780/463

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 189,780

Greatest Common Factor of Numerators i.e. GCF of 189,780 is 3 .

LCM of Denominators means LCM of 131,463 as per the given fractions.

LCM of 131,463 is 60653 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 189,780

GCF of Fractions 189/131,780/463 is 3/60653

3 189, 780
63, 260

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 189,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,780 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 189,780 . The biggest common factor number is the GCF number.
So the greatest common factor 189,780 is 3.

Lets's calculate LCM of 131,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 60653

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60653

Therefore, the GCF of Fractions 189/131,780/463 is 3/60653

Least Common Multiple of 131,463 with GCF Formula

Least Common Multiple of 131,463 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 131,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,463) = 1

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

GCF(131,463) x common factors =1 x 1 = 1

LCM(131,463) = ( 131 × 463 ) / 1

LCM(131,463) = 60653 / 1

LCM(131,463) = 60653


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 189/131, 780/463

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 189/131, 780/463?

Answer: GCF of Numerators as per given numbers 189/131, 780/463 is

GCF of Numerators i.e. for 189,780 is 3

LCM of denominators i.e. for 131,463 is 60653.

Thus, GCF of Fractions is 3/60653.Finally, GCF of Fractions for 189/131, 780/463 is 3/60653.