Greatest Common Factor of 496/780, 147/267, 232/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/780, 147/267, 232/980

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 496/780,147/267,232/980

Given fractions are 496/780,147/267,232/980

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 496,147,232

Greatest Common Factor of Numerators i.e. GCF of 496,147,232 is 1 .

LCM of Denominators means LCM of 780,267,980 as per the given fractions.

LCM of 780,267,980 is 3401580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,147,232

GCF of Fractions 496/780,147/267,232/980 is 1/3401580

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 496,147,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,147,232 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 496,147,232 . The biggest common factor number is the GCF number.
So the greatest common factor 496,147,232 is 1.

Lets's calculate LCM of 780,267,980

2 780, 267, 980
2 390, 267, 490
3 195, 267, 245
5 65, 89, 245
13, 89, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 89 x 49 = 3401580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3401580

Therefore, the GCF of Fractions 496/780,147/267,232/980 is 1/3401580

Least Common Multiple of 780,267,980 with GCF Formula

Least Common Multiple of 780,267,980 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 780,267,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,267,980) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(780,267,980) x common factors =1 x 60 = 60

LCM(780,267,980) = ( 780 × 267 × 980 ) / 60

LCM(780,267,980) = 204094800 / 60

LCM(780,267,980) = 3401580


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 496/780, 147/267, 232/980

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 496/780, 147/267, 232/980?

Answer: GCF of Numerators as per given numbers 496/780, 147/267, 232/980 is

GCF of Numerators i.e. for 496,147,232 is 1

LCM of denominators i.e. for 780,267,980 is 3401580.

Thus, GCF of Fractions is 1/3401580.Finally, GCF of Fractions for 496/780, 147/267, 232/980 is 1/3401580.