Greatest Common Factor of 240/17, 3410/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/17, 3410/103

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 240/17,3410/103

Given fractions are 240/17,3410/103

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 240,3410

Greatest Common Factor of Numerators i.e. GCF of 240,3410 is 10 .

LCM of Denominators means LCM of 17,103 as per the given fractions.

LCM of 17,103 is 1751 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,3410

GCF of Fractions 240/17,3410/103 is 10/1751

2 240, 3410
5 120, 1705
24, 341

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 240,3410 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,3410 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Greatest Common Factor

We found the factors 240,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 240,3410 is 10.

Lets's calculate LCM of 17,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 1751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1751

Therefore, the GCF of Fractions 240/17,3410/103 is 10/1751

Least Common Multiple of 17,103 with GCF Formula

Least Common Multiple of 17,103 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 17,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,103) = 1

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

GCF(17,103) x common factors =1 x 1 = 1

LCM(17,103) = ( 17 × 103 ) / 1

LCM(17,103) = 1751 / 1

LCM(17,103) = 1751


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 240/17, 3410/103

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 240/17, 3410/103?

Answer: GCF of Numerators as per given numbers 240/17, 3410/103 is

GCF of Numerators i.e. for 240,3410 is 10

LCM of denominators i.e. for 17,103 is 1751.

Thus, GCF of Fractions is 10/1751.Finally, GCF of Fractions for 240/17, 3410/103 is 10/1751.