Greatest Common Factor of 82/428, 41/688, 889/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/428, 41/688, 889/218

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 82/428,41/688,889/218

Given fractions are 82/428,41/688,889/218

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 82,41,889

Greatest Common Factor of Numerators i.e. GCF of 82,41,889 is 1 .

LCM of Denominators means LCM of 428,688,218 as per the given fractions.

LCM of 428,688,218 is 8024144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,41,889

GCF of Fractions 82/428,41/688,889/218 is 1/8024144

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

Greatest Common Factor of 82,41,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,41,889 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 82,41,889 . The biggest common factor number is the GCF number.
So the greatest common factor 82,41,889 is 1.

Lets's calculate LCM of 428,688,218

2 428, 688, 218
2 214, 344, 109
107, 172, 109

∴ So the LCM of the given numbers is 2 x 2 x 107 x 172 x 109 = 8024144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8024144

Therefore, the GCF of Fractions 82/428,41/688,889/218 is 1/8024144

Least Common Multiple of 428,688,218 with GCF Formula

Least Common Multiple of 428,688,218 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 428,688,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,688,218) = 2

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

GCF(428,688,218) x common factors =2 x 4 = 8

LCM(428,688,218) = ( 428 × 688 × 218 ) / 8

LCM(428,688,218) = 64193152 / 8

LCM(428,688,218) = 8024144


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 82/428, 41/688, 889/218

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 82/428, 41/688, 889/218?

Answer: GCF of Numerators as per given numbers 82/428, 41/688, 889/218 is

GCF of Numerators i.e. for 82,41,889 is 1

LCM of denominators i.e. for 428,688,218 is 8024144.

Thus, GCF of Fractions is 1/8024144.Finally, GCF of Fractions for 82/428, 41/688, 889/218 is 1/8024144.