Greatest Common Factor of 9745/287, 9530/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9745/287, 9530/255

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 9745/287,9530/255

Given fractions are 9745/287,9530/255

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 9745,9530

Greatest Common Factor of Numerators i.e. GCF of 9745,9530 is 5 .

LCM of Denominators means LCM of 287,255 as per the given fractions.

LCM of 287,255 is 73185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9745,9530

GCF of Fractions 9745/287,9530/255 is 5/73185

5 9745, 9530
1949, 1906

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9745,9530 By Matching Biggest Common Factor Method

Greatest Common Factor of 9745,9530 By Matching Biggest Common Factor Method

Factors of 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1,5,1949,9745

Factors of 9530

List of positive integer factors of 9530 that divides 9530 without a remainder.

1,2,5,10,953,1906,4765,9530

Greatest Common Factor

We found the factors 9745,9530 . The biggest common factor number is the GCF number.
So the greatest common factor 9745,9530 is 5.

Lets's calculate LCM of 287,255

Given numbers has no common factors except 1. So, there LCM is their product i.e 73185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/73185

Therefore, the GCF of Fractions 9745/287,9530/255 is 5/73185

Least Common Multiple of 287,255 with GCF Formula

Least Common Multiple of 287,255 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 287,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,255) = 1

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

GCF(287,255) x common factors =1 x 1 = 1

LCM(287,255) = ( 287 × 255 ) / 1

LCM(287,255) = 73185 / 1

LCM(287,255) = 73185


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 9745/287, 9530/255

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 9745/287, 9530/255?

Answer: GCF of Numerators as per given numbers 9745/287, 9530/255 is

GCF of Numerators i.e. for 9745,9530 is 5

LCM of denominators i.e. for 287,255 is 73185.

Thus, GCF of Fractions is 5/73185.Finally, GCF of Fractions for 9745/287, 9530/255 is 5/73185.