Greatest Common Factor of 68/484, 77/218, 808/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/484, 77/218, 808/460

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 68/484,77/218,808/460

Given fractions are 68/484,77/218,808/460

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 68,77,808

Greatest Common Factor of Numerators i.e. GCF of 68,77,808 is 1 .

LCM of Denominators means LCM of 484,218,460 as per the given fractions.

LCM of 484,218,460 is 6066940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,77,808

GCF of Fractions 68/484,77/218,808/460 is 1/6066940

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

Greatest Common Factor of 68,77,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,77,808 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 68,77,808 . The biggest common factor number is the GCF number.
So the greatest common factor 68,77,808 is 1.

Lets's calculate LCM of 484,218,460

2 484, 218, 460
2 242, 109, 230
121, 109, 115

∴ So the LCM of the given numbers is 2 x 2 x 121 x 109 x 115 = 6066940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6066940

Therefore, the GCF of Fractions 68/484,77/218,808/460 is 1/6066940

Least Common Multiple of 484,218,460 with GCF Formula

Least Common Multiple of 484,218,460 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 484,218,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,218,460) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(484,218,460) x common factors =2 x 4 = 8

LCM(484,218,460) = ( 484 × 218 × 460 ) / 8

LCM(484,218,460) = 48535520 / 8

LCM(484,218,460) = 6066940


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 68/484, 77/218, 808/460

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 68/484, 77/218, 808/460?

Answer: GCF of Numerators as per given numbers 68/484, 77/218, 808/460 is

GCF of Numerators i.e. for 68,77,808 is 1

LCM of denominators i.e. for 484,218,460 is 6066940.

Thus, GCF of Fractions is 1/6066940.Finally, GCF of Fractions for 68/484, 77/218, 808/460 is 1/6066940.