Greatest Common Factor of 103/68, 914/1069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 103/68, 914/1069

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 103/68,914/1069

Given fractions are 103/68,914/1069

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 103,914

Greatest Common Factor of Numerators i.e. GCF of 103,914 is 1 .

LCM of Denominators means LCM of 68,1069 as per the given fractions.

LCM of 68,1069 is 72692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 103,914

GCF of Fractions 103/68,914/1069 is 1/72692

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

Greatest Common Factor of 103,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,914 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 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 103,914 . The biggest common factor number is the GCF number.
So the greatest common factor 103,914 is 1.

Lets's calculate LCM of 68,1069

Given numbers has no common factors except 1. So, there LCM is their product i.e 72692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72692

Therefore, the GCF of Fractions 103/68,914/1069 is 1/72692

Least Common Multiple of 68,1069 with GCF Formula

Least Common Multiple of 68,1069 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 68,1069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,1069) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(68,1069) x common factors =1 x 1 = 1

LCM(68,1069) = ( 68 × 1069 ) / 1

LCM(68,1069) = 72692 / 1

LCM(68,1069) = 72692


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 103/68, 914/1069

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 103/68, 914/1069?

Answer: GCF of Numerators as per given numbers 103/68, 914/1069 is

GCF of Numerators i.e. for 103,914 is 1

LCM of denominators i.e. for 68,1069 is 72692.

Thus, GCF of Fractions is 1/72692.Finally, GCF of Fractions for 103/68, 914/1069 is 1/72692.