Greatest Common Factor of 9070/566, 8059/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9070/566, 8059/575

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 9070/566,8059/575

Given fractions are 9070/566,8059/575

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 9070,8059

Greatest Common Factor of Numerators i.e. GCF of 9070,8059 is 1 .

LCM of Denominators means LCM of 566,575 as per the given fractions.

LCM of 566,575 is 325450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9070,8059

GCF of Fractions 9070/566,8059/575 is 1/325450

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

Greatest Common Factor of 9070,8059 By Matching Biggest Common Factor Method

Greatest Common Factor of 9070,8059 By Matching Biggest Common Factor Method

Factors of 9070

List of positive integer factors of 9070 that divides 9070 without a remainder.

1,2,5,10,907,1814,4535,9070

Factors of 8059

List of positive integer factors of 8059 that divides 8059 without a remainder.

1,8059

Greatest Common Factor

We found the factors 9070,8059 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,8059 is 1.

Lets's calculate LCM of 566,575

Given numbers has no common factors except 1. So, there LCM is their product i.e 325450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325450

Therefore, the GCF of Fractions 9070/566,8059/575 is 1/325450

Least Common Multiple of 566,575 with GCF Formula

Least Common Multiple of 566,575 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 566,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,575) = 1

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

GCF(566,575) x common factors =1 x 1 = 1

LCM(566,575) = ( 566 × 575 ) / 1

LCM(566,575) = 325450 / 1

LCM(566,575) = 325450


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 9070/566, 8059/575

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 9070/566, 8059/575?

Answer: GCF of Numerators as per given numbers 9070/566, 8059/575 is

GCF of Numerators i.e. for 9070,8059 is 1

LCM of denominators i.e. for 566,575 is 325450.

Thus, GCF of Fractions is 1/325450.Finally, GCF of Fractions for 9070/566, 8059/575 is 1/325450.