Greatest Common Factor of 408/302, 761/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/302, 761/823

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 408/302,761/823

Given fractions are 408/302,761/823

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 408,761

Greatest Common Factor of Numerators i.e. GCF of 408,761 is 1 .

LCM of Denominators means LCM of 302,823 as per the given fractions.

LCM of 302,823 is 248546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,761

GCF of Fractions 408/302,761/823 is 1/248546

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

Greatest Common Factor of 408,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,761 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 408,761 . The biggest common factor number is the GCF number.
So the greatest common factor 408,761 is 1.

Lets's calculate LCM of 302,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 248546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248546

Therefore, the GCF of Fractions 408/302,761/823 is 1/248546

Least Common Multiple of 302,823 with GCF Formula

Least Common Multiple of 302,823 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 302,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,823) = 1

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

GCF(302,823) x common factors =1 x 1 = 1

LCM(302,823) = ( 302 × 823 ) / 1

LCM(302,823) = 248546 / 1

LCM(302,823) = 248546


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 408/302, 761/823

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 408/302, 761/823?

Answer: GCF of Numerators as per given numbers 408/302, 761/823 is

GCF of Numerators i.e. for 408,761 is 1

LCM of denominators i.e. for 302,823 is 248546.

Thus, GCF of Fractions is 1/248546.Finally, GCF of Fractions for 408/302, 761/823 is 1/248546.