Greatest Common Factor of 6282/42, 1714/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6282/42, 1714/516

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 6282/42,1714/516

Given fractions are 6282/42,1714/516

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 6282,1714

Greatest Common Factor of Numerators i.e. GCF of 6282,1714 is 2 .

LCM of Denominators means LCM of 42,516 as per the given fractions.

LCM of 42,516 is 3612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6282,1714

GCF of Fractions 6282/42,1714/516 is 2/3612

2 6282, 1714
3141, 857

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

Greatest Common Factor of 6282,1714 By Matching Biggest Common Factor Method

Greatest Common Factor of 6282,1714 By Matching Biggest Common Factor Method

Factors of 6282

List of positive integer factors of 6282 that divides 6282 without a remainder.

1,2,3,6,9,18,349,698,1047,2094,3141,6282

Factors of 1714

List of positive integer factors of 1714 that divides 1714 without a remainder.

1,2,857,1714

Greatest Common Factor

We found the factors 6282,1714 . The biggest common factor number is the GCF number.
So the greatest common factor 6282,1714 is 2.

Lets's calculate LCM of 42,516

2 42, 516
3 21, 258
7, 86

∴ So the LCM of the given numbers is 2 x 3 x 7 x 86 = 3612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3612

Therefore, the GCF of Fractions 6282/42,1714/516 is 2/3612

Least Common Multiple of 42,516 with GCF Formula

Least Common Multiple of 42,516 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 42,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,516) = 6

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

GCF(42,516) x common factors =6 x 1 = 6

LCM(42,516) = ( 42 × 516 ) / 6

LCM(42,516) = 21672 / 6

LCM(42,516) = 3612


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 6282/42, 1714/516

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 6282/42, 1714/516?

Answer: GCF of Numerators as per given numbers 6282/42, 1714/516 is

GCF of Numerators i.e. for 6282,1714 is 2

LCM of denominators i.e. for 42,516 is 3612.

Thus, GCF of Fractions is 2/3612.Finally, GCF of Fractions for 6282/42, 1714/516 is 2/3612.