Greatest Common Factor of 103/26, 517/33, 630/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 103/26, 517/33, 630/408

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 103/26,517/33,630/408

Given fractions are 103/26,517/33,630/408

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 103,517,630

Greatest Common Factor of Numerators i.e. GCF of 103,517,630 is 1 .

LCM of Denominators means LCM of 26,33,408 as per the given fractions.

LCM of 26,33,408 is 58344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 103,517,630

GCF of Fractions 103/26,517/33,630/408 is 1/58344

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

Greatest Common Factor of 103,517,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,517,630 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 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 103,517,630 . The biggest common factor number is the GCF number.
So the greatest common factor 103,517,630 is 1.

Lets's calculate LCM of 26,33,408

2 26, 33, 408
3 13, 33, 204
13, 11, 68

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 68 = 58344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58344

Therefore, the GCF of Fractions 103/26,517/33,630/408 is 1/58344

Least Common Multiple of 26,33,408 with GCF Formula

Least Common Multiple of 26,33,408 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 26,33,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,33,408) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(26,33,408) x common factors =1 x 6 = 6

LCM(26,33,408) = ( 26 × 33 × 408 ) / 6

LCM(26,33,408) = 350064 / 6

LCM(26,33,408) = 58344


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 103/26, 517/33, 630/408

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 103/26, 517/33, 630/408?

Answer: GCF of Numerators as per given numbers 103/26, 517/33, 630/408 is

GCF of Numerators i.e. for 103,517,630 is 1

LCM of denominators i.e. for 26,33,408 is 58344.

Thus, GCF of Fractions is 1/58344.Finally, GCF of Fractions for 103/26, 517/33, 630/408 is 1/58344.