Greatest Common Factor of 460/3067, 574/9775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/3067, 574/9775

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 460/3067,574/9775

Given fractions are 460/3067,574/9775

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 460,574

Greatest Common Factor of Numerators i.e. GCF of 460,574 is 2 .

LCM of Denominators means LCM of 3067,9775 as per the given fractions.

LCM of 3067,9775 is 29979925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,574

GCF of Fractions 460/3067,574/9775 is 2/29979925

2 460, 574
230, 287

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 460,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,574 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 460,574 . The biggest common factor number is the GCF number.
So the greatest common factor 460,574 is 2.

Lets's calculate LCM of 3067,9775

Given numbers has no common factors except 1. So, there LCM is their product i.e 29979925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29979925

Therefore, the GCF of Fractions 460/3067,574/9775 is 2/29979925

Least Common Multiple of 3067,9775 with GCF Formula

Least Common Multiple of 3067,9775 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 3067,9775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3067,9775) = 1

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

GCF(3067,9775) x common factors =1 x 1 = 1

LCM(3067,9775) = ( 3067 × 9775 ) / 1

LCM(3067,9775) = 29979925 / 1

LCM(3067,9775) = 29979925


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 460/3067, 574/9775

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 460/3067, 574/9775?

Answer: GCF of Numerators as per given numbers 460/3067, 574/9775 is

GCF of Numerators i.e. for 460,574 is 2

LCM of denominators i.e. for 3067,9775 is 29979925.

Thus, GCF of Fractions is 2/29979925.Finally, GCF of Fractions for 460/3067, 574/9775 is 2/29979925.