Greatest Common Factor of 9145/842, 7807/8565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9145/842, 7807/8565

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 9145/842,7807/8565

Given fractions are 9145/842,7807/8565

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 9145,7807

Greatest Common Factor of Numerators i.e. GCF of 9145,7807 is 1 .

LCM of Denominators means LCM of 842,8565 as per the given fractions.

LCM of 842,8565 is 7211730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9145,7807

GCF of Fractions 9145/842,7807/8565 is 1/7211730

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

Greatest Common Factor of 9145,7807 By Matching Biggest Common Factor Method

Greatest Common Factor of 9145,7807 By Matching Biggest Common Factor Method

Factors of 9145

List of positive integer factors of 9145 that divides 9145 without a remainder.

1,5,31,59,155,295,1829,9145

Factors of 7807

List of positive integer factors of 7807 that divides 7807 without a remainder.

1,37,211,7807

Greatest Common Factor

We found the factors 9145,7807 . The biggest common factor number is the GCF number.
So the greatest common factor 9145,7807 is 1.

Lets's calculate LCM of 842,8565

Given numbers has no common factors except 1. So, there LCM is their product i.e 7211730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7211730

Therefore, the GCF of Fractions 9145/842,7807/8565 is 1/7211730

Least Common Multiple of 842,8565 with GCF Formula

Least Common Multiple of 842,8565 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 842,8565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,8565) = 1

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

GCF(842,8565) x common factors =1 x 1 = 1

LCM(842,8565) = ( 842 × 8565 ) / 1

LCM(842,8565) = 7211730 / 1

LCM(842,8565) = 7211730


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 9145/842, 7807/8565

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 9145/842, 7807/8565?

Answer: GCF of Numerators as per given numbers 9145/842, 7807/8565 is

GCF of Numerators i.e. for 9145,7807 is 1

LCM of denominators i.e. for 842,8565 is 7211730.

Thus, GCF of Fractions is 1/7211730.Finally, GCF of Fractions for 9145/842, 7807/8565 is 1/7211730.