Greatest Common Factor of 8705/605, 3260/7005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8705/605, 3260/7005

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 8705/605,3260/7005

Given fractions are 8705/605,3260/7005

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 8705,3260

Greatest Common Factor of Numerators i.e. GCF of 8705,3260 is 5 .

LCM of Denominators means LCM of 605,7005 as per the given fractions.

LCM of 605,7005 is 847605 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8705,3260

GCF of Fractions 8705/605,3260/7005 is 5/847605

5 8705, 3260
1741, 652

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

Greatest Common Factor of 8705,3260 By Matching Biggest Common Factor Method

Greatest Common Factor of 8705,3260 By Matching Biggest Common Factor Method

Factors of 8705

List of positive integer factors of 8705 that divides 8705 without a remainder.

1,5,1741,8705

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1,2,4,5,10,20,163,326,652,815,1630,3260

Greatest Common Factor

We found the factors 8705,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 8705,3260 is 5.

Lets's calculate LCM of 605,7005

5 605, 7005
121, 1401

∴ So the LCM of the given numbers is 5 x 121 x 1401 = 847605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/847605

Therefore, the GCF of Fractions 8705/605,3260/7005 is 5/847605

Least Common Multiple of 605,7005 with GCF Formula

Least Common Multiple of 605,7005 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 605,7005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,7005) = 5

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

GCF(605,7005) x common factors =5 x 1 = 5

LCM(605,7005) = ( 605 × 7005 ) / 5

LCM(605,7005) = 4238025 / 5

LCM(605,7005) = 847605


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 8705/605, 3260/7005

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 8705/605, 3260/7005?

Answer: GCF of Numerators as per given numbers 8705/605, 3260/7005 is

GCF of Numerators i.e. for 8705,3260 is 5

LCM of denominators i.e. for 605,7005 is 847605.

Thus, GCF of Fractions is 5/847605.Finally, GCF of Fractions for 8705/605, 3260/7005 is 5/847605.