Greatest Common Factor of 84/540, 490/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/540, 490/624

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 84/540,490/624

Given fractions are 84/540,490/624

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 84,490

Greatest Common Factor of Numerators i.e. GCF of 84,490 is 14 .

LCM of Denominators means LCM of 540,624 as per the given fractions.

LCM of 540,624 is 28080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,490

GCF of Fractions 84/540,490/624 is 14/28080

2 84, 490
7 42, 245
6, 35

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 84,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,490 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 84,490 . The biggest common factor number is the GCF number.
So the greatest common factor 84,490 is 14.

Lets's calculate LCM of 540,624

2 540, 624
2 270, 312
3 135, 156
45, 52

∴ So the LCM of the given numbers is 2 x 2 x 3 x 45 x 52 = 28080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/28080

Therefore, the GCF of Fractions 84/540,490/624 is 14/28080

Least Common Multiple of 540,624 with GCF Formula

Least Common Multiple of 540,624 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 540,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,624) = 12

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

GCF(540,624) x common factors =12 x 1 = 12

LCM(540,624) = ( 540 × 624 ) / 12

LCM(540,624) = 336960 / 12

LCM(540,624) = 28080


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 84/540, 490/624

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 84/540, 490/624?

Answer: GCF of Numerators as per given numbers 84/540, 490/624 is

GCF of Numerators i.e. for 84,490 is 14

LCM of denominators i.e. for 540,624 is 28080.

Thus, GCF of Fractions is 14/28080.Finally, GCF of Fractions for 84/540, 490/624 is 14/28080.