Greatest Common Factor of 246/714, 4724/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 246/714, 4724/534

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 246/714,4724/534

Given fractions are 246/714,4724/534

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 246,4724

Greatest Common Factor of Numerators i.e. GCF of 246,4724 is 2 .

LCM of Denominators means LCM of 714,534 as per the given fractions.

LCM of 714,534 is 63546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 246,4724

GCF of Fractions 246/714,4724/534 is 2/63546

2 246, 4724
123, 2362

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

Greatest Common Factor of 246,4724 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,4724 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 4724

List of positive integer factors of 4724 that divides 4724 without a remainder.

1,2,4,1181,2362,4724

Greatest Common Factor

We found the factors 246,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 246,4724 is 2.

Lets's calculate LCM of 714,534

2 714, 534
3 357, 267
119, 89

∴ So the LCM of the given numbers is 2 x 3 x 119 x 89 = 63546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63546

Therefore, the GCF of Fractions 246/714,4724/534 is 2/63546

Least Common Multiple of 714,534 with GCF Formula

Least Common Multiple of 714,534 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 714,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,534) = 6

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

GCF(714,534) x common factors =6 x 1 = 6

LCM(714,534) = ( 714 × 534 ) / 6

LCM(714,534) = 381276 / 6

LCM(714,534) = 63546


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 246/714, 4724/534

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 246/714, 4724/534?

Answer: GCF of Numerators as per given numbers 246/714, 4724/534 is

GCF of Numerators i.e. for 246,4724 is 2

LCM of denominators i.e. for 714,534 is 63546.

Thus, GCF of Fractions is 2/63546.Finally, GCF of Fractions for 246/714, 4724/534 is 2/63546.