Greatest Common Factor of 450/45, 797/92, 846/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/45, 797/92, 846/946

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 450/45,797/92,846/946

Given fractions are 450/45,797/92,846/946

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 450,797,846

Greatest Common Factor of Numerators i.e. GCF of 450,797,846 is 1 .

LCM of Denominators means LCM of 45,92,946 as per the given fractions.

LCM of 45,92,946 is 1958220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,797,846

GCF of Fractions 450/45,797/92,846/946 is 1/1958220

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

Greatest Common Factor of 450,797,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,797,846 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 450,797,846 . The biggest common factor number is the GCF number.
So the greatest common factor 450,797,846 is 1.

Lets's calculate LCM of 45,92,946

2 45, 92, 946
45, 46, 473

∴ So the LCM of the given numbers is 2 x 45 x 46 x 473 = 1958220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1958220

Therefore, the GCF of Fractions 450/45,797/92,846/946 is 1/1958220

Least Common Multiple of 45,92,946 with GCF Formula

Least Common Multiple of 45,92,946 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 45,92,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,92,946) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(45,92,946) x common factors =1 x 2 = 2

LCM(45,92,946) = ( 45 × 92 × 946 ) / 2

LCM(45,92,946) = 3916440 / 2

LCM(45,92,946) = 1958220


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 450/45, 797/92, 846/946

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 450/45, 797/92, 846/946?

Answer: GCF of Numerators as per given numbers 450/45, 797/92, 846/946 is

GCF of Numerators i.e. for 450,797,846 is 1

LCM of denominators i.e. for 45,92,946 is 1958220.

Thus, GCF of Fractions is 1/1958220.Finally, GCF of Fractions for 450/45, 797/92, 846/946 is 1/1958220.