Greatest Common Factor of 103/42, 506/26, 899/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 103/42, 506/26, 899/156

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 103/42,506/26,899/156

Given fractions are 103/42,506/26,899/156

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 103,506,899

Greatest Common Factor of Numerators i.e. GCF of 103,506,899 is 1 .

LCM of Denominators means LCM of 42,26,156 as per the given fractions.

LCM of 42,26,156 is 1092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 103,506,899

GCF of Fractions 103/42,506/26,899/156 is 1/1092

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

Greatest Common Factor of 103,506,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,506,899 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 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 103,506,899 . The biggest common factor number is the GCF number.
So the greatest common factor 103,506,899 is 1.

Lets's calculate LCM of 42,26,156

2 42, 26, 156
3 21, 13, 78
13 7, 13, 26
7, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 1 x 2 = 1092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092

Therefore, the GCF of Fractions 103/42,506/26,899/156 is 1/1092

Least Common Multiple of 42,26,156 with GCF Formula

Least Common Multiple of 42,26,156 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 42,26,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,26,156) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(42,26,156) x common factors =2 x 78 = 156

LCM(42,26,156) = ( 42 × 26 × 156 ) / 156

LCM(42,26,156) = 170352 / 156

LCM(42,26,156) = 1092


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 103/42, 506/26, 899/156

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 103/42, 506/26, 899/156?

Answer: GCF of Numerators as per given numbers 103/42, 506/26, 899/156 is

GCF of Numerators i.e. for 103,506,899 is 1

LCM of denominators i.e. for 42,26,156 is 1092.

Thus, GCF of Fractions is 1/1092.Finally, GCF of Fractions for 103/42, 506/26, 899/156 is 1/1092.