Greatest Common Factor of 9746/495, 7670/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9746/495, 7670/233

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 9746/495,7670/233

Given fractions are 9746/495,7670/233

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 9746,7670

Greatest Common Factor of Numerators i.e. GCF of 9746,7670 is 2 .

LCM of Denominators means LCM of 495,233 as per the given fractions.

LCM of 495,233 is 115335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9746,7670

GCF of Fractions 9746/495,7670/233 is 2/115335

2 9746, 7670
4873, 3835

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

Greatest Common Factor of 9746,7670 By Matching Biggest Common Factor Method

Greatest Common Factor of 9746,7670 By Matching Biggest Common Factor Method

Factors of 9746

List of positive integer factors of 9746 that divides 9746 without a remainder.

1,2,11,22,443,886,4873,9746

Factors of 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670

Greatest Common Factor

We found the factors 9746,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 9746,7670 is 2.

Lets's calculate LCM of 495,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 115335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115335

Therefore, the GCF of Fractions 9746/495,7670/233 is 2/115335

Least Common Multiple of 495,233 with GCF Formula

Least Common Multiple of 495,233 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 495,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,233) = 1

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

GCF(495,233) x common factors =1 x 1 = 1

LCM(495,233) = ( 495 × 233 ) / 1

LCM(495,233) = 115335 / 1

LCM(495,233) = 115335


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 9746/495, 7670/233

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 9746/495, 7670/233?

Answer: GCF of Numerators as per given numbers 9746/495, 7670/233 is

GCF of Numerators i.e. for 9746,7670 is 2

LCM of denominators i.e. for 495,233 is 115335.

Thus, GCF of Fractions is 2/115335.Finally, GCF of Fractions for 9746/495, 7670/233 is 2/115335.