Greatest Common Factor of 9077/162, 8219/7290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9077/162, 8219/7290

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 9077/162,8219/7290

Given fractions are 9077/162,8219/7290

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 9077,8219

Greatest Common Factor of Numerators i.e. GCF of 9077,8219 is 1 .

LCM of Denominators means LCM of 162,7290 as per the given fractions.

LCM of 162,7290 is 7290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9077,8219

GCF of Fractions 9077/162,8219/7290 is 1/7290

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

Greatest Common Factor of 9077,8219 By Matching Biggest Common Factor Method

Greatest Common Factor of 9077,8219 By Matching Biggest Common Factor Method

Factors of 9077

List of positive integer factors of 9077 that divides 9077 without a remainder.

1,29,313,9077

Factors of 8219

List of positive integer factors of 8219 that divides 8219 without a remainder.

1,8219

Greatest Common Factor

We found the factors 9077,8219 . The biggest common factor number is the GCF number.
So the greatest common factor 9077,8219 is 1.

Lets's calculate LCM of 162,7290

2 162, 7290
3 81, 3645
3 27, 1215
3 9, 405
3 3, 135
1, 45

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 1 x 45 = 7290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7290

Therefore, the GCF of Fractions 9077/162,8219/7290 is 1/7290

Least Common Multiple of 162,7290 with GCF Formula

Least Common Multiple of 162,7290 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 162,7290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,7290) = 162

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

GCF(162,7290) x common factors =162 x 1 = 162

LCM(162,7290) = ( 162 × 7290 ) / 162

LCM(162,7290) = 1180980 / 162

LCM(162,7290) = 7290


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 9077/162, 8219/7290

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 9077/162, 8219/7290?

Answer: GCF of Numerators as per given numbers 9077/162, 8219/7290 is

GCF of Numerators i.e. for 9077,8219 is 1

LCM of denominators i.e. for 162,7290 is 7290.

Thus, GCF of Fractions is 1/7290.Finally, GCF of Fractions for 9077/162, 8219/7290 is 1/7290.