Greatest Common Factor of 460/65, 686/8494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/65, 686/8494

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 460/65,686/8494

Given fractions are 460/65,686/8494

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 460,686

Greatest Common Factor of Numerators i.e. GCF of 460,686 is 2 .

LCM of Denominators means LCM of 65,8494 as per the given fractions.

LCM of 65,8494 is 552110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,686

GCF of Fractions 460/65,686/8494 is 2/552110

2 460, 686
230, 343

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

Greatest Common Factor of 460,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,686 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 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 460,686 . The biggest common factor number is the GCF number.
So the greatest common factor 460,686 is 2.

Lets's calculate LCM of 65,8494

Given numbers has no common factors except 1. So, there LCM is their product i.e 552110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/552110

Therefore, the GCF of Fractions 460/65,686/8494 is 2/552110

Least Common Multiple of 65,8494 with GCF Formula

Least Common Multiple of 65,8494 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 65,8494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,8494) = 1

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

GCF(65,8494) x common factors =1 x 1 = 1

LCM(65,8494) = ( 65 × 8494 ) / 1

LCM(65,8494) = 552110 / 1

LCM(65,8494) = 552110


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 460/65, 686/8494

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 460/65, 686/8494?

Answer: GCF of Numerators as per given numbers 460/65, 686/8494 is

GCF of Numerators i.e. for 460,686 is 2

LCM of denominators i.e. for 65,8494 is 552110.

Thus, GCF of Fractions is 2/552110.Finally, GCF of Fractions for 460/65, 686/8494 is 2/552110.