Greatest Common Factor of 4337/964, 6550/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4337/964, 6550/966

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 4337/964,6550/966

Given fractions are 4337/964,6550/966

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 4337,6550

Greatest Common Factor of Numerators i.e. GCF of 4337,6550 is 1 .

LCM of Denominators means LCM of 964,966 as per the given fractions.

LCM of 964,966 is 465612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4337,6550

GCF of Fractions 4337/964,6550/966 is 1/465612

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

Greatest Common Factor of 4337,6550 By Matching Biggest Common Factor Method

Greatest Common Factor of 4337,6550 By Matching Biggest Common Factor Method

Factors of 4337

List of positive integer factors of 4337 that divides 4337 without a remainder.

1,4337

Factors of 6550

List of positive integer factors of 6550 that divides 6550 without a remainder.

1,2,5,10,25,50,131,262,655,1310,3275,6550

Greatest Common Factor

We found the factors 4337,6550 . The biggest common factor number is the GCF number.
So the greatest common factor 4337,6550 is 1.

Lets's calculate LCM of 964,966

2 964, 966
482, 483

∴ So the LCM of the given numbers is 2 x 482 x 483 = 465612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/465612

Therefore, the GCF of Fractions 4337/964,6550/966 is 1/465612

Least Common Multiple of 964,966 with GCF Formula

Least Common Multiple of 964,966 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 964,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,966) = 2

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

GCF(964,966) x common factors =2 x 1 = 2

LCM(964,966) = ( 964 × 966 ) / 2

LCM(964,966) = 931224 / 2

LCM(964,966) = 465612


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 4337/964, 6550/966

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 4337/964, 6550/966?

Answer: GCF of Numerators as per given numbers 4337/964, 6550/966 is

GCF of Numerators i.e. for 4337,6550 is 1

LCM of denominators i.e. for 964,966 is 465612.

Thus, GCF of Fractions is 1/465612.Finally, GCF of Fractions for 4337/964, 6550/966 is 1/465612.