Greatest Common Factor of 151/723, 318/549, 663/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 151/723, 318/549, 663/953

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 151/723,318/549,663/953

Given fractions are 151/723,318/549,663/953

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 151,318,663

Greatest Common Factor of Numerators i.e. GCF of 151,318,663 is 1 .

LCM of Denominators means LCM of 723,549,953 as per the given fractions.

LCM of 723,549,953 is 126090477 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 151,318,663

GCF of Fractions 151/723,318/549,663/953 is 1/126090477

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

Greatest Common Factor of 151,318,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,318,663 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 151,318,663 . The biggest common factor number is the GCF number.
So the greatest common factor 151,318,663 is 1.

Lets's calculate LCM of 723,549,953

3 723, 549, 953
241, 183, 953

∴ So the LCM of the given numbers is 3 x 241 x 183 x 953 = 126090477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126090477

Therefore, the GCF of Fractions 151/723,318/549,663/953 is 1/126090477

Least Common Multiple of 723,549,953 with GCF Formula

Least Common Multiple of 723,549,953 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 723,549,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,549,953) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(723,549,953) x common factors =1 x 3 = 3

LCM(723,549,953) = ( 723 × 549 × 953 ) / 3

LCM(723,549,953) = 378271431 / 3

LCM(723,549,953) = 126090477


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 151/723, 318/549, 663/953

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 151/723, 318/549, 663/953?

Answer: GCF of Numerators as per given numbers 151/723, 318/549, 663/953 is

GCF of Numerators i.e. for 151,318,663 is 1

LCM of denominators i.e. for 723,549,953 is 126090477.

Thus, GCF of Fractions is 1/126090477.Finally, GCF of Fractions for 151/723, 318/549, 663/953 is 1/126090477.