Greatest Common Factor of 964/281, 7210/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 964/281, 7210/322

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 964/281,7210/322

Given fractions are 964/281,7210/322

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 964,7210

Greatest Common Factor of Numerators i.e. GCF of 964,7210 is 2 .

LCM of Denominators means LCM of 281,322 as per the given fractions.

LCM of 281,322 is 90482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 964,7210

GCF of Fractions 964/281,7210/322 is 2/90482

2 964, 7210
482, 3605

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

Greatest Common Factor of 964,7210 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,7210 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 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Greatest Common Factor

We found the factors 964,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 964,7210 is 2.

Lets's calculate LCM of 281,322

Given numbers has no common factors except 1. So, there LCM is their product i.e 90482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90482

Therefore, the GCF of Fractions 964/281,7210/322 is 2/90482

Least Common Multiple of 281,322 with GCF Formula

Least Common Multiple of 281,322 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 281,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,322) = 1

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

GCF(281,322) x common factors =1 x 1 = 1

LCM(281,322) = ( 281 × 322 ) / 1

LCM(281,322) = 90482 / 1

LCM(281,322) = 90482


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 964/281, 7210/322

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 964/281, 7210/322?

Answer: GCF of Numerators as per given numbers 964/281, 7210/322 is

GCF of Numerators i.e. for 964,7210 is 2

LCM of denominators i.e. for 281,322 is 90482.

Thus, GCF of Fractions is 2/90482.Finally, GCF of Fractions for 964/281, 7210/322 is 2/90482.