Greatest Common Factor of 8090/155, 5465/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8090/155, 5465/742

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 8090/155,5465/742

Given fractions are 8090/155,5465/742

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 8090,5465

Greatest Common Factor of Numerators i.e. GCF of 8090,5465 is 5 .

LCM of Denominators means LCM of 155,742 as per the given fractions.

LCM of 155,742 is 115010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8090,5465

GCF of Fractions 8090/155,5465/742 is 5/115010

5 8090, 5465
1618, 1093

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

Greatest Common Factor of 8090,5465 By Matching Biggest Common Factor Method

Greatest Common Factor of 8090,5465 By Matching Biggest Common Factor Method

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1,2,5,10,809,1618,4045,8090

Factors of 5465

List of positive integer factors of 5465 that divides 5465 without a remainder.

1,5,1093,5465

Greatest Common Factor

We found the factors 8090,5465 . The biggest common factor number is the GCF number.
So the greatest common factor 8090,5465 is 5.

Lets's calculate LCM of 155,742

Given numbers has no common factors except 1. So, there LCM is their product i.e 115010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/115010

Therefore, the GCF of Fractions 8090/155,5465/742 is 5/115010

Least Common Multiple of 155,742 with GCF Formula

Least Common Multiple of 155,742 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 155,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,742) = 1

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

GCF(155,742) x common factors =1 x 1 = 1

LCM(155,742) = ( 155 × 742 ) / 1

LCM(155,742) = 115010 / 1

LCM(155,742) = 115010


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 8090/155, 5465/742

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 8090/155, 5465/742?

Answer: GCF of Numerators as per given numbers 8090/155, 5465/742 is

GCF of Numerators i.e. for 8090,5465 is 5

LCM of denominators i.e. for 155,742 is 115010.

Thus, GCF of Fractions is 5/115010.Finally, GCF of Fractions for 8090/155, 5465/742 is 5/115010.