Greatest Common Factor of 655/449, 625/170, 815/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/449, 625/170, 815/855

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 655/449,625/170,815/855

Given fractions are 655/449,625/170,815/855

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 655,625,815

Greatest Common Factor of Numerators i.e. GCF of 655,625,815 is 5 .

LCM of Denominators means LCM of 449,170,855 as per the given fractions.

LCM of 449,170,855 is 13052430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,625,815

GCF of Fractions 655/449,625/170,815/855 is 5/13052430

5 655, 625, 815
131, 125, 163

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 655,625,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,625,815 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 655,625,815 . The biggest common factor number is the GCF number.
So the greatest common factor 655,625,815 is 5.

Lets's calculate LCM of 449,170,855

5 449, 170, 855
449, 34, 171

∴ So the LCM of the given numbers is 5 x 449 x 34 x 171 = 13052430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13052430

Therefore, the GCF of Fractions 655/449,625/170,815/855 is 5/13052430

Least Common Multiple of 449,170,855 with GCF Formula

Least Common Multiple of 449,170,855 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 449,170,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,170,855) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(449,170,855) x common factors =1 x 5 = 5

LCM(449,170,855) = ( 449 × 170 × 855 ) / 5

LCM(449,170,855) = 65262150 / 5

LCM(449,170,855) = 13052430


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 655/449, 625/170, 815/855

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 655/449, 625/170, 815/855?

Answer: GCF of Numerators as per given numbers 655/449, 625/170, 815/855 is

GCF of Numerators i.e. for 655,625,815 is 5

LCM of denominators i.e. for 449,170,855 is 13052430.

Thus, GCF of Fractions is 5/13052430.Finally, GCF of Fractions for 655/449, 625/170, 815/855 is 5/13052430.