Greatest Common Factor of 467/802, 156/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/802, 156/744

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 467/802,156/744

Given fractions are 467/802,156/744

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 467,156

Greatest Common Factor of Numerators i.e. GCF of 467,156 is 1 .

LCM of Denominators means LCM of 802,744 as per the given fractions.

LCM of 802,744 is 298344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,156

GCF of Fractions 467/802,156/744 is 1/298344

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

Greatest Common Factor of 467,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,156 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 467,156 . The biggest common factor number is the GCF number.
So the greatest common factor 467,156 is 1.

Lets's calculate LCM of 802,744

2 802, 744
401, 372

∴ So the LCM of the given numbers is 2 x 401 x 372 = 298344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298344

Therefore, the GCF of Fractions 467/802,156/744 is 1/298344

Least Common Multiple of 802,744 with GCF Formula

Least Common Multiple of 802,744 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 802,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,744) = 2

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

GCF(802,744) x common factors =2 x 1 = 2

LCM(802,744) = ( 802 × 744 ) / 2

LCM(802,744) = 596688 / 2

LCM(802,744) = 298344


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 467/802, 156/744

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 467/802, 156/744?

Answer: GCF of Numerators as per given numbers 467/802, 156/744 is

GCF of Numerators i.e. for 467,156 is 1

LCM of denominators i.e. for 802,744 is 298344.

Thus, GCF of Fractions is 1/298344.Finally, GCF of Fractions for 467/802, 156/744 is 1/298344.