Greatest Common Factor of 88/812, 381/532, 618/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/812, 381/532, 618/209

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 88/812,381/532,618/209

Given fractions are 88/812,381/532,618/209

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 88,381,618

Greatest Common Factor of Numerators i.e. GCF of 88,381,618 is 1 .

LCM of Denominators means LCM of 812,532,209 as per the given fractions.

LCM of 812,532,209 is 169708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,381,618

GCF of Fractions 88/812,381/532,618/209 is 1/169708

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 88,381,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,381,618 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 88,381,618 . The biggest common factor number is the GCF number.
So the greatest common factor 88,381,618 is 1.

Lets's calculate LCM of 812,532,209

2 812, 532, 209
2 406, 266, 209
7 203, 133, 209
19 29, 19, 209
29, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 29 x 1 x 11 = 169708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169708

Therefore, the GCF of Fractions 88/812,381/532,618/209 is 1/169708

Least Common Multiple of 812,532,209 with GCF Formula

Least Common Multiple of 812,532,209 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 812,532,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,532,209) = 1

common factors(in case of two or more numbers have common factors) = 532

GCF(812,532,209) x common factors =1 x 532 = 532

LCM(812,532,209) = ( 812 × 532 × 209 ) / 532

LCM(812,532,209) = 90284656 / 532

LCM(812,532,209) = 169708


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 88/812, 381/532, 618/209

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 88/812, 381/532, 618/209?

Answer: GCF of Numerators as per given numbers 88/812, 381/532, 618/209 is

GCF of Numerators i.e. for 88,381,618 is 1

LCM of denominators i.e. for 812,532,209 is 169708.

Thus, GCF of Fractions is 1/169708.Finally, GCF of Fractions for 88/812, 381/532, 618/209 is 1/169708.