Greatest Common Factor of 1/73, 17/97, 85/242, 107/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/73, 17/97, 85/242, 107/689

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 1/73,17/97,85/242,107/689

Given fractions are 1/73,17/97,85/242,107/689

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 1,17,85,107

Greatest Common Factor of Numerators i.e. GCF of 1,17,85,107 is 1 .

LCM of Denominators means LCM of 73,97,242,689 as per the given fractions.

LCM of 73,97,242,689 is 1180671778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,17,85,107

GCF of Fractions 1/73,17/97,85/242,107/689 is 1/1180671778

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

Greatest Common Factor of 1,17,85,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,17,85,107 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 1,17,85,107 . The biggest common factor number is the GCF number.
So the greatest common factor 1,17,85,107 is 1.

Lets's calculate LCM of 73,97,242,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 1180671778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1180671778

Therefore, the GCF of Fractions 1/73,17/97,85/242,107/689 is 1/1180671778

Least Common Multiple of 73,97,242,689 with GCF Formula

Least Common Multiple of 73,97,242,689 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 73,97,242,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,97,242,689) = 1

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

GCF(73,97,242,689) x common factors =1 x 1 = 1

LCM(73,97,242,689) = ( 73 × 97 × 242 × 689 ) / 1

LCM(73,97,242,689) = 1180671778 / 1

LCM(73,97,242,689) = 1180671778


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 1/73, 17/97, 85/242, 107/689

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 1/73, 17/97, 85/242, 107/689?

Answer: GCF of Numerators as per given numbers 1/73, 17/97, 85/242, 107/689 is

GCF of Numerators i.e. for 1,17,85,107 is 1

LCM of denominators i.e. for 73,97,242,689 is 1180671778.

Thus, GCF of Fractions is 1/1180671778.Finally, GCF of Fractions for 1/73, 17/97, 85/242, 107/689 is 1/1180671778.