Greatest Common Factor of 965/285, 346/428, 976/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 965/285, 346/428, 976/544

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 965/285,346/428,976/544

Given fractions are 965/285,346/428,976/544

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 965,346,976

Greatest Common Factor of Numerators i.e. GCF of 965,346,976 is 1 .

LCM of Denominators means LCM of 285,428,544 as per the given fractions.

LCM of 285,428,544 is 16589280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 965,346,976

GCF of Fractions 965/285,346/428,976/544 is 1/16589280

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

Greatest Common Factor of 965,346,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,346,976 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

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

Greatest Common Factor

We found the factors 965,346,976 . The biggest common factor number is the GCF number.
So the greatest common factor 965,346,976 is 1.

Lets's calculate LCM of 285,428,544

2 285, 428, 544
2 285, 214, 272
285, 107, 136

∴ So the LCM of the given numbers is 2 x 2 x 285 x 107 x 136 = 16589280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16589280

Therefore, the GCF of Fractions 965/285,346/428,976/544 is 1/16589280

Least Common Multiple of 285,428,544 with GCF Formula

Least Common Multiple of 285,428,544 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 285,428,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,428,544) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(285,428,544) x common factors =1 x 4 = 4

LCM(285,428,544) = ( 285 × 428 × 544 ) / 4

LCM(285,428,544) = 66357120 / 4

LCM(285,428,544) = 16589280


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 965/285, 346/428, 976/544

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 965/285, 346/428, 976/544?

Answer: GCF of Numerators as per given numbers 965/285, 346/428, 976/544 is

GCF of Numerators i.e. for 965,346,976 is 1

LCM of denominators i.e. for 285,428,544 is 16589280.

Thus, GCF of Fractions is 1/16589280.Finally, GCF of Fractions for 965/285, 346/428, 976/544 is 1/16589280.