Greatest Common Factor of 103/17, 421/55, 837/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 103/17, 421/55, 837/295

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 103/17,421/55,837/295

Given fractions are 103/17,421/55,837/295

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 103,421,837

Greatest Common Factor of Numerators i.e. GCF of 103,421,837 is 1 .

LCM of Denominators means LCM of 17,55,295 as per the given fractions.

LCM of 17,55,295 is 55165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 103,421,837

GCF of Fractions 103/17,421/55,837/295 is 1/55165

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

Greatest Common Factor of 103,421,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,421,837 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 103,421,837 . The biggest common factor number is the GCF number.
So the greatest common factor 103,421,837 is 1.

Lets's calculate LCM of 17,55,295

5 17, 55, 295
17, 11, 59

∴ So the LCM of the given numbers is 5 x 17 x 11 x 59 = 55165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55165

Therefore, the GCF of Fractions 103/17,421/55,837/295 is 1/55165

Least Common Multiple of 17,55,295 with GCF Formula

Least Common Multiple of 17,55,295 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 17,55,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,55,295) = 1

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

GCF(17,55,295) x common factors =1 x 5 = 5

LCM(17,55,295) = ( 17 × 55 × 295 ) / 5

LCM(17,55,295) = 275825 / 5

LCM(17,55,295) = 55165


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 103/17, 421/55, 837/295

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 103/17, 421/55, 837/295?

Answer: GCF of Numerators as per given numbers 103/17, 421/55, 837/295 is

GCF of Numerators i.e. for 103,421,837 is 1

LCM of denominators i.e. for 17,55,295 is 55165.

Thus, GCF of Fractions is 1/55165.Finally, GCF of Fractions for 103/17, 421/55, 837/295 is 1/55165.