Greatest Common Factor of 538/268, 598/420, 708/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/268, 598/420, 708/516

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 538/268,598/420,708/516

Given fractions are 538/268,598/420,708/516

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 538,598,708

Greatest Common Factor of Numerators i.e. GCF of 538,598,708 is 2 .

LCM of Denominators means LCM of 268,420,516 as per the given fractions.

LCM of 268,420,516 is 1210020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,598,708

GCF of Fractions 538/268,598/420,708/516 is 2/1210020

2 538, 598, 708
269, 299, 354

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

Greatest Common Factor of 538,598,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,598,708 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 538,598,708 . The biggest common factor number is the GCF number.
So the greatest common factor 538,598,708 is 2.

Lets's calculate LCM of 268,420,516

2 268, 420, 516
2 134, 210, 258
3 67, 105, 129
67, 35, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 35 x 43 = 1210020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1210020

Therefore, the GCF of Fractions 538/268,598/420,708/516 is 2/1210020

Least Common Multiple of 268,420,516 with GCF Formula

Least Common Multiple of 268,420,516 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 268,420,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,420,516) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(268,420,516) x common factors =4 x 12 = 48

LCM(268,420,516) = ( 268 × 420 × 516 ) / 48

LCM(268,420,516) = 58080960 / 48

LCM(268,420,516) = 1210020


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 538/268, 598/420, 708/516

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 538/268, 598/420, 708/516?

Answer: GCF of Numerators as per given numbers 538/268, 598/420, 708/516 is

GCF of Numerators i.e. for 538,598,708 is 2

LCM of denominators i.e. for 268,420,516 is 1210020.

Thus, GCF of Fractions is 2/1210020.Finally, GCF of Fractions for 538/268, 598/420, 708/516 is 2/1210020.