Greatest Common Factor of 77/496, 83/750, 463/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/496, 83/750, 463/600

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 77/496,83/750,463/600

Given fractions are 77/496,83/750,463/600

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 77,83,463

Greatest Common Factor of Numerators i.e. GCF of 77,83,463 is 1 .

LCM of Denominators means LCM of 496,750,600 as per the given fractions.

LCM of 496,750,600 is 186000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,83,463

GCF of Fractions 77/496,83/750,463/600 is 1/186000

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

Greatest Common Factor of 77,83,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,83,463 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 77,83,463 . The biggest common factor number is the GCF number.
So the greatest common factor 77,83,463 is 1.

Lets's calculate LCM of 496,750,600

2 496, 750, 600
2 248, 375, 300
2 124, 375, 150
3 62, 375, 75
5 62, 125, 25
5 62, 5, 25
62, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 62 x 1 x 5 = 186000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186000

Therefore, the GCF of Fractions 77/496,83/750,463/600 is 1/186000

Least Common Multiple of 496,750,600 with GCF Formula

Least Common Multiple of 496,750,600 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 496,750,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,750,600) = 2

common factors(in case of two or more numbers have common factors) = 600

GCF(496,750,600) x common factors =2 x 600 = 1200

LCM(496,750,600) = ( 496 × 750 × 600 ) / 1200

LCM(496,750,600) = 223200000 / 1200

LCM(496,750,600) = 186000


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 77/496, 83/750, 463/600

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 77/496, 83/750, 463/600?

Answer: GCF of Numerators as per given numbers 77/496, 83/750, 463/600 is

GCF of Numerators i.e. for 77,83,463 is 1

LCM of denominators i.e. for 496,750,600 is 186000.

Thus, GCF of Fractions is 1/186000.Finally, GCF of Fractions for 77/496, 83/750, 463/600 is 1/186000.