Greatest Common Factor of 7864/354, 6473/1064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7864/354, 6473/1064

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 7864/354,6473/1064

Given fractions are 7864/354,6473/1064

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 7864,6473

Greatest Common Factor of Numerators i.e. GCF of 7864,6473 is 1 .

LCM of Denominators means LCM of 354,1064 as per the given fractions.

LCM of 354,1064 is 188328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7864,6473

GCF of Fractions 7864/354,6473/1064 is 1/188328

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

Greatest Common Factor of 7864,6473 By Matching Biggest Common Factor Method

Greatest Common Factor of 7864,6473 By Matching Biggest Common Factor Method

Factors of 7864

List of positive integer factors of 7864 that divides 7864 without a remainder.

1,2,4,8,983,1966,3932,7864

Factors of 6473

List of positive integer factors of 6473 that divides 6473 without a remainder.

1,6473

Greatest Common Factor

We found the factors 7864,6473 . The biggest common factor number is the GCF number.
So the greatest common factor 7864,6473 is 1.

Lets's calculate LCM of 354,1064

2 354, 1064
177, 532

∴ So the LCM of the given numbers is 2 x 177 x 532 = 188328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188328

Therefore, the GCF of Fractions 7864/354,6473/1064 is 1/188328

Least Common Multiple of 354,1064 with GCF Formula

Least Common Multiple of 354,1064 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 354,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,1064) = 2

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

GCF(354,1064) x common factors =2 x 1 = 2

LCM(354,1064) = ( 354 × 1064 ) / 2

LCM(354,1064) = 376656 / 2

LCM(354,1064) = 188328


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 7864/354, 6473/1064

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 7864/354, 6473/1064?

Answer: GCF of Numerators as per given numbers 7864/354, 6473/1064 is

GCF of Numerators i.e. for 7864,6473 is 1

LCM of denominators i.e. for 354,1064 is 188328.

Thus, GCF of Fractions is 1/188328.Finally, GCF of Fractions for 7864/354, 6473/1064 is 1/188328.