Greatest Common Factor of 146/645, 877/989, 317/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/645, 877/989, 317/387

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 146/645,877/989,317/387

Given fractions are 146/645,877/989,317/387

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 146,877,317

Greatest Common Factor of Numerators i.e. GCF of 146,877,317 is 1 .

LCM of Denominators means LCM of 645,989,387 as per the given fractions.

LCM of 645,989,387 is 44505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,877,317

GCF of Fractions 146/645,877/989,317/387 is 1/44505

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

Greatest Common Factor of 146,877,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,877,317 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 146,877,317 . The biggest common factor number is the GCF number.
So the greatest common factor 146,877,317 is 1.

Lets's calculate LCM of 645,989,387

3 645, 989, 387
43 215, 989, 129
5, 23, 3

∴ So the LCM of the given numbers is 3 x 43 x 5 x 23 x 3 = 44505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44505

Therefore, the GCF of Fractions 146/645,877/989,317/387 is 1/44505

Least Common Multiple of 645,989,387 with GCF Formula

Least Common Multiple of 645,989,387 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 645,989,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,989,387) = 43

common factors(in case of two or more numbers have common factors) = 129

GCF(645,989,387) x common factors =43 x 129 = 5547

LCM(645,989,387) = ( 645 × 989 × 387 ) / 5547

LCM(645,989,387) = 246869235 / 5547

LCM(645,989,387) = 44505


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 146/645, 877/989, 317/387

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 146/645, 877/989, 317/387?

Answer: GCF of Numerators as per given numbers 146/645, 877/989, 317/387 is

GCF of Numerators i.e. for 146,877,317 is 1

LCM of denominators i.e. for 645,989,387 is 44505.

Thus, GCF of Fractions is 1/44505.Finally, GCF of Fractions for 146/645, 877/989, 317/387 is 1/44505.