Greatest Common Factor of 3605/977, 9059/1255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3605/977, 9059/1255

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 3605/977,9059/1255

Given fractions are 3605/977,9059/1255

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 3605,9059

Greatest Common Factor of Numerators i.e. GCF of 3605,9059 is 1 .

LCM of Denominators means LCM of 977,1255 as per the given fractions.

LCM of 977,1255 is 1226135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3605,9059

GCF of Fractions 3605/977,9059/1255 is 1/1226135

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

Greatest Common Factor of 3605,9059 By Matching Biggest Common Factor Method

Greatest Common Factor of 3605,9059 By Matching Biggest Common Factor Method

Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1,5,7,35,103,515,721,3605

Factors of 9059

List of positive integer factors of 9059 that divides 9059 without a remainder.

1,9059

Greatest Common Factor

We found the factors 3605,9059 . The biggest common factor number is the GCF number.
So the greatest common factor 3605,9059 is 1.

Lets's calculate LCM of 977,1255

Given numbers has no common factors except 1. So, there LCM is their product i.e 1226135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1226135

Therefore, the GCF of Fractions 3605/977,9059/1255 is 1/1226135

Least Common Multiple of 977,1255 with GCF Formula

Least Common Multiple of 977,1255 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 977,1255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,1255) = 1

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

GCF(977,1255) x common factors =1 x 1 = 1

LCM(977,1255) = ( 977 × 1255 ) / 1

LCM(977,1255) = 1226135 / 1

LCM(977,1255) = 1226135


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 3605/977, 9059/1255

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 3605/977, 9059/1255?

Answer: GCF of Numerators as per given numbers 3605/977, 9059/1255 is

GCF of Numerators i.e. for 3605,9059 is 1

LCM of denominators i.e. for 977,1255 is 1226135.

Thus, GCF of Fractions is 1/1226135.Finally, GCF of Fractions for 3605/977, 9059/1255 is 1/1226135.