Greatest Common Factor of 465/47, 8794/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/47, 8794/581

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 465/47,8794/581

Given fractions are 465/47,8794/581

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 465,8794

Greatest Common Factor of Numerators i.e. GCF of 465,8794 is 1 .

LCM of Denominators means LCM of 47,581 as per the given fractions.

LCM of 47,581 is 27307 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,8794

GCF of Fractions 465/47,8794/581 is 1/27307

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

Greatest Common Factor of 465,8794 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,8794 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 8794

List of positive integer factors of 8794 that divides 8794 without a remainder.

1,2,4397,8794

Greatest Common Factor

We found the factors 465,8794 . The biggest common factor number is the GCF number.
So the greatest common factor 465,8794 is 1.

Lets's calculate LCM of 47,581

Given numbers has no common factors except 1. So, there LCM is their product i.e 27307

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27307

Therefore, the GCF of Fractions 465/47,8794/581 is 1/27307

Least Common Multiple of 47,581 with GCF Formula

Least Common Multiple of 47,581 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 47,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,581) = 1

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

GCF(47,581) x common factors =1 x 1 = 1

LCM(47,581) = ( 47 × 581 ) / 1

LCM(47,581) = 27307 / 1

LCM(47,581) = 27307


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 465/47, 8794/581

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 465/47, 8794/581?

Answer: GCF of Numerators as per given numbers 465/47, 8794/581 is

GCF of Numerators i.e. for 465,8794 is 1

LCM of denominators i.e. for 47,581 is 27307.

Thus, GCF of Fractions is 1/27307.Finally, GCF of Fractions for 465/47, 8794/581 is 1/27307.