Greatest Common Factor of 334/64, 101/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/64, 101/276

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 334/64,101/276

Given fractions are 334/64,101/276

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 334,101

Greatest Common Factor of Numerators i.e. GCF of 334,101 is 1 .

LCM of Denominators means LCM of 64,276 as per the given fractions.

LCM of 64,276 is 4416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,101

GCF of Fractions 334/64,101/276 is 1/4416

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

Greatest Common Factor of 334,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,101 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 334,101 . The biggest common factor number is the GCF number.
So the greatest common factor 334,101 is 1.

Lets's calculate LCM of 64,276

2 64, 276
2 32, 138
16, 69

∴ So the LCM of the given numbers is 2 x 2 x 16 x 69 = 4416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4416

Therefore, the GCF of Fractions 334/64,101/276 is 1/4416

Least Common Multiple of 64,276 with GCF Formula

Least Common Multiple of 64,276 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 64,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,276) = 4

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

GCF(64,276) x common factors =4 x 1 = 4

LCM(64,276) = ( 64 × 276 ) / 4

LCM(64,276) = 17664 / 4

LCM(64,276) = 4416


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 334/64, 101/276

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 334/64, 101/276?

Answer: GCF of Numerators as per given numbers 334/64, 101/276 is

GCF of Numerators i.e. for 334,101 is 1

LCM of denominators i.e. for 64,276 is 4416.

Thus, GCF of Fractions is 1/4416.Finally, GCF of Fractions for 334/64, 101/276 is 1/4416.