Greatest Common Factor of 538/216, 532/898, 348/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/216, 532/898, 348/518

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 538/216,532/898,348/518

Given fractions are 538/216,532/898,348/518

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 538,532,348

Greatest Common Factor of Numerators i.e. GCF of 538,532,348 is 2 .

LCM of Denominators means LCM of 216,898,518 as per the given fractions.

LCM of 216,898,518 is 25118856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,532,348

GCF of Fractions 538/216,532/898,348/518 is 2/25118856

2 538, 532, 348
269, 266, 174

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

Greatest Common Factor of 538,532,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,532,348 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 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 538,532,348 . The biggest common factor number is the GCF number.
So the greatest common factor 538,532,348 is 2.

Lets's calculate LCM of 216,898,518

2 216, 898, 518
108, 449, 259

∴ So the LCM of the given numbers is 2 x 108 x 449 x 259 = 25118856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25118856

Therefore, the GCF of Fractions 538/216,532/898,348/518 is 2/25118856

Least Common Multiple of 216,898,518 with GCF Formula

Least Common Multiple of 216,898,518 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 216,898,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,898,518) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(216,898,518) x common factors =2 x 2 = 4

LCM(216,898,518) = ( 216 × 898 × 518 ) / 4

LCM(216,898,518) = 100475424 / 4

LCM(216,898,518) = 25118856


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 538/216, 532/898, 348/518

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 538/216, 532/898, 348/518?

Answer: GCF of Numerators as per given numbers 538/216, 532/898, 348/518 is

GCF of Numerators i.e. for 538,532,348 is 2

LCM of denominators i.e. for 216,898,518 is 25118856.

Thus, GCF of Fractions is 2/25118856.Finally, GCF of Fractions for 538/216, 532/898, 348/518 is 2/25118856.