Greatest Common Factor of 542/71, 4688/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/71, 4688/462

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 542/71,4688/462

Given fractions are 542/71,4688/462

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 542,4688

Greatest Common Factor of Numerators i.e. GCF of 542,4688 is 2 .

LCM of Denominators means LCM of 71,462 as per the given fractions.

LCM of 71,462 is 32802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,4688

GCF of Fractions 542/71,4688/462 is 2/32802

2 542, 4688
271, 2344

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

Greatest Common Factor of 542,4688 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,4688 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1,2,4,8,16,293,586,1172,2344,4688

Greatest Common Factor

We found the factors 542,4688 . The biggest common factor number is the GCF number.
So the greatest common factor 542,4688 is 2.

Lets's calculate LCM of 71,462

Given numbers has no common factors except 1. So, there LCM is their product i.e 32802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32802

Therefore, the GCF of Fractions 542/71,4688/462 is 2/32802

Least Common Multiple of 71,462 with GCF Formula

Least Common Multiple of 71,462 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 71,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,462) = 1

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

GCF(71,462) x common factors =1 x 1 = 1

LCM(71,462) = ( 71 × 462 ) / 1

LCM(71,462) = 32802 / 1

LCM(71,462) = 32802


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 542/71, 4688/462

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 542/71, 4688/462?

Answer: GCF of Numerators as per given numbers 542/71, 4688/462 is

GCF of Numerators i.e. for 542,4688 is 2

LCM of denominators i.e. for 71,462 is 32802.

Thus, GCF of Fractions is 2/32802.Finally, GCF of Fractions for 542/71, 4688/462 is 2/32802.