Greatest Common Factor of 742/53, 1684/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/53, 1684/531

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 742/53,1684/531

Given fractions are 742/53,1684/531

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 742,1684

Greatest Common Factor of Numerators i.e. GCF of 742,1684 is 2 .

LCM of Denominators means LCM of 53,531 as per the given fractions.

LCM of 53,531 is 28143 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,1684

GCF of Fractions 742/53,1684/531 is 2/28143

2 742, 1684
371, 842

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

Greatest Common Factor of 742,1684 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,1684 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Greatest Common Factor

We found the factors 742,1684 . The biggest common factor number is the GCF number.
So the greatest common factor 742,1684 is 2.

Lets's calculate LCM of 53,531

Given numbers has no common factors except 1. So, there LCM is their product i.e 28143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28143

Therefore, the GCF of Fractions 742/53,1684/531 is 2/28143

Least Common Multiple of 53,531 with GCF Formula

Least Common Multiple of 53,531 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 53,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,531) = 1

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

GCF(53,531) x common factors =1 x 1 = 1

LCM(53,531) = ( 53 × 531 ) / 1

LCM(53,531) = 28143 / 1

LCM(53,531) = 28143


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 742/53, 1684/531

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 742/53, 1684/531?

Answer: GCF of Numerators as per given numbers 742/53, 1684/531 is

GCF of Numerators i.e. for 742,1684 is 2

LCM of denominators i.e. for 53,531 is 28143.

Thus, GCF of Fractions is 2/28143.Finally, GCF of Fractions for 742/53, 1684/531 is 2/28143.