Greatest Common Factor of 964/35, 350/21, 854/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 964/35, 350/21, 854/296

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 964/35,350/21,854/296

Given fractions are 964/35,350/21,854/296

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 964,350,854

Greatest Common Factor of Numerators i.e. GCF of 964,350,854 is 2 .

LCM of Denominators means LCM of 35,21,296 as per the given fractions.

LCM of 35,21,296 is 31080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 964,350,854

GCF of Fractions 964/35,350/21,854/296 is 2/31080

2 964, 350, 854
482, 175, 427

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 964,350,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,350,854 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 964,350,854 . The biggest common factor number is the GCF number.
So the greatest common factor 964,350,854 is 2.

Lets's calculate LCM of 35,21,296

7 35, 21, 296
5, 3, 296

∴ So the LCM of the given numbers is 7 x 5 x 3 x 296 = 31080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31080

Therefore, the GCF of Fractions 964/35,350/21,854/296 is 2/31080

Least Common Multiple of 35,21,296 with GCF Formula

Least Common Multiple of 35,21,296 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 35,21,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,21,296) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,21,296) x common factors =1 x 7 = 7

LCM(35,21,296) = ( 35 × 21 × 296 ) / 7

LCM(35,21,296) = 217560 / 7

LCM(35,21,296) = 31080


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 964/35, 350/21, 854/296

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 964/35, 350/21, 854/296?

Answer: GCF of Numerators as per given numbers 964/35, 350/21, 854/296 is

GCF of Numerators i.e. for 964,350,854 is 2

LCM of denominators i.e. for 35,21,296 is 31080.

Thus, GCF of Fractions is 2/31080.Finally, GCF of Fractions for 964/35, 350/21, 854/296 is 2/31080.