Greatest Common Factor of 456/67, 534/6873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 456/67, 534/6873

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 456/67,534/6873

Given fractions are 456/67,534/6873

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 456,534

Greatest Common Factor of Numerators i.e. GCF of 456,534 is 6 .

LCM of Denominators means LCM of 67,6873 as per the given fractions.

LCM of 67,6873 is 460491 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 456,534

GCF of Fractions 456/67,534/6873 is 6/460491

2 456, 534
3 228, 267
76, 89

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 456,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,534 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 456,534 . The biggest common factor number is the GCF number.
So the greatest common factor 456,534 is 6.

Lets's calculate LCM of 67,6873

Given numbers has no common factors except 1. So, there LCM is their product i.e 460491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/460491

Therefore, the GCF of Fractions 456/67,534/6873 is 6/460491

Least Common Multiple of 67,6873 with GCF Formula

Least Common Multiple of 67,6873 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 67,6873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,6873) = 1

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

GCF(67,6873) x common factors =1 x 1 = 1

LCM(67,6873) = ( 67 × 6873 ) / 1

LCM(67,6873) = 460491 / 1

LCM(67,6873) = 460491


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 456/67, 534/6873

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 456/67, 534/6873?

Answer: GCF of Numerators as per given numbers 456/67, 534/6873 is

GCF of Numerators i.e. for 456,534 is 6

LCM of denominators i.e. for 67,6873 is 460491.

Thus, GCF of Fractions is 6/460491.Finally, GCF of Fractions for 456/67, 534/6873 is 6/460491.