Greatest Common Factor of 707/73, 204/1984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 707/73, 204/1984

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 707/73,204/1984

Given fractions are 707/73,204/1984

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 707,204

Greatest Common Factor of Numerators i.e. GCF of 707,204 is 1 .

LCM of Denominators means LCM of 73,1984 as per the given fractions.

LCM of 73,1984 is 144832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 707,204

GCF of Fractions 707/73,204/1984 is 1/144832

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

Greatest Common Factor of 707,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,204 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 707,204 . The biggest common factor number is the GCF number.
So the greatest common factor 707,204 is 1.

Lets's calculate LCM of 73,1984

Given numbers has no common factors except 1. So, there LCM is their product i.e 144832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144832

Therefore, the GCF of Fractions 707/73,204/1984 is 1/144832

Least Common Multiple of 73,1984 with GCF Formula

Least Common Multiple of 73,1984 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 73,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,1984) = 1

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

GCF(73,1984) x common factors =1 x 1 = 1

LCM(73,1984) = ( 73 × 1984 ) / 1

LCM(73,1984) = 144832 / 1

LCM(73,1984) = 144832


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 707/73, 204/1984

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 707/73, 204/1984?

Answer: GCF of Numerators as per given numbers 707/73, 204/1984 is

GCF of Numerators i.e. for 707,204 is 1

LCM of denominators i.e. for 73,1984 is 144832.

Thus, GCF of Fractions is 1/144832.Finally, GCF of Fractions for 707/73, 204/1984 is 1/144832.