Greatest Common Factor of 677/4734, 546/6400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 677/4734, 546/6400

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 677/4734,546/6400

Given fractions are 677/4734,546/6400

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 677,546

Greatest Common Factor of Numerators i.e. GCF of 677,546 is 1 .

LCM of Denominators means LCM of 4734,6400 as per the given fractions.

LCM of 4734,6400 is 15148800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 677,546

GCF of Fractions 677/4734,546/6400 is 1/15148800

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

Greatest Common Factor of 677,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,546 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 677,546 . The biggest common factor number is the GCF number.
So the greatest common factor 677,546 is 1.

Lets's calculate LCM of 4734,6400

2 4734, 6400
2367, 3200

∴ So the LCM of the given numbers is 2 x 2367 x 3200 = 15148800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15148800

Therefore, the GCF of Fractions 677/4734,546/6400 is 1/15148800

Least Common Multiple of 4734,6400 with GCF Formula

Least Common Multiple of 4734,6400 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 4734,6400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4734,6400) = 2

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

GCF(4734,6400) x common factors =2 x 1 = 2

LCM(4734,6400) = ( 4734 × 6400 ) / 2

LCM(4734,6400) = 30297600 / 2

LCM(4734,6400) = 15148800


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 677/4734, 546/6400

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 677/4734, 546/6400?

Answer: GCF of Numerators as per given numbers 677/4734, 546/6400 is

GCF of Numerators i.e. for 677,546 is 1

LCM of denominators i.e. for 4734,6400 is 15148800.

Thus, GCF of Fractions is 1/15148800.Finally, GCF of Fractions for 677/4734, 546/6400 is 1/15148800.