Greatest Common Factor of 976/43, 428/44, 455/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 976/43, 428/44, 455/527

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 976/43,428/44,455/527

Given fractions are 976/43,428/44,455/527

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 976,428,455

Greatest Common Factor of Numerators i.e. GCF of 976,428,455 is 1 .

LCM of Denominators means LCM of 43,44,527 as per the given fractions.

LCM of 43,44,527 is 997084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 976,428,455

GCF of Fractions 976/43,428/44,455/527 is 1/997084

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

Greatest Common Factor of 976,428,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,428,455 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 976,428,455 . The biggest common factor number is the GCF number.
So the greatest common factor 976,428,455 is 1.

Lets's calculate LCM of 43,44,527

Given numbers has no common factors except 1. So, there LCM is their product i.e 997084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/997084

Therefore, the GCF of Fractions 976/43,428/44,455/527 is 1/997084

Least Common Multiple of 43,44,527 with GCF Formula

Least Common Multiple of 43,44,527 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 43,44,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,44,527) = 1

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

GCF(43,44,527) x common factors =1 x 1 = 1

LCM(43,44,527) = ( 43 × 44 × 527 ) / 1

LCM(43,44,527) = 997084 / 1

LCM(43,44,527) = 997084


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 976/43, 428/44, 455/527

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 976/43, 428/44, 455/527?

Answer: GCF of Numerators as per given numbers 976/43, 428/44, 455/527 is

GCF of Numerators i.e. for 976,428,455 is 1

LCM of denominators i.e. for 43,44,527 is 997084.

Thus, GCF of Fractions is 1/997084.Finally, GCF of Fractions for 976/43, 428/44, 455/527 is 1/997084.