Greatest Common Factor of 374/64, 4677/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 374/64, 4677/210

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 374/64,4677/210

Given fractions are 374/64,4677/210

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 374,4677

Greatest Common Factor of Numerators i.e. GCF of 374,4677 is 1 .

LCM of Denominators means LCM of 64,210 as per the given fractions.

LCM of 64,210 is 6720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 374,4677

GCF of Fractions 374/64,4677/210 is 1/6720

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

Greatest Common Factor of 374,4677 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,4677 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1,3,1559,4677

Greatest Common Factor

We found the factors 374,4677 . The biggest common factor number is the GCF number.
So the greatest common factor 374,4677 is 1.

Lets's calculate LCM of 64,210

2 64, 210
32, 105

∴ So the LCM of the given numbers is 2 x 32 x 105 = 6720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6720

Therefore, the GCF of Fractions 374/64,4677/210 is 1/6720

Least Common Multiple of 64,210 with GCF Formula

Least Common Multiple of 64,210 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 64,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,210) = 2

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

GCF(64,210) x common factors =2 x 1 = 2

LCM(64,210) = ( 64 × 210 ) / 2

LCM(64,210) = 13440 / 2

LCM(64,210) = 6720


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 374/64, 4677/210

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 374/64, 4677/210?

Answer: GCF of Numerators as per given numbers 374/64, 4677/210 is

GCF of Numerators i.e. for 374,4677 is 1

LCM of denominators i.e. for 64,210 is 6720.

Thus, GCF of Fractions is 1/6720.Finally, GCF of Fractions for 374/64, 4677/210 is 1/6720.