Greatest Common Factor of 6454/701, 8976/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6454/701, 8976/366

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 6454/701,8976/366

Given fractions are 6454/701,8976/366

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 6454,8976

Greatest Common Factor of Numerators i.e. GCF of 6454,8976 is 2 .

LCM of Denominators means LCM of 701,366 as per the given fractions.

LCM of 701,366 is 256566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6454,8976

GCF of Fractions 6454/701,8976/366 is 2/256566

2 6454, 8976
3227, 4488

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

Greatest Common Factor of 6454,8976 By Matching Biggest Common Factor Method

Greatest Common Factor of 6454,8976 By Matching Biggest Common Factor Method

Factors of 6454

List of positive integer factors of 6454 that divides 6454 without a remainder.

1,2,7,14,461,922,3227,6454

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Greatest Common Factor

We found the factors 6454,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 6454,8976 is 2.

Lets's calculate LCM of 701,366

Given numbers has no common factors except 1. So, there LCM is their product i.e 256566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/256566

Therefore, the GCF of Fractions 6454/701,8976/366 is 2/256566

Least Common Multiple of 701,366 with GCF Formula

Least Common Multiple of 701,366 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 701,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,366) = 1

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

GCF(701,366) x common factors =1 x 1 = 1

LCM(701,366) = ( 701 × 366 ) / 1

LCM(701,366) = 256566 / 1

LCM(701,366) = 256566


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 6454/701, 8976/366

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 6454/701, 8976/366?

Answer: GCF of Numerators as per given numbers 6454/701, 8976/366 is

GCF of Numerators i.e. for 6454,8976 is 2

LCM of denominators i.e. for 701,366 is 256566.

Thus, GCF of Fractions is 2/256566.Finally, GCF of Fractions for 6454/701, 8976/366 is 2/256566.