Greatest Common Factor of 3250/34, 2315/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3250/34, 2315/595

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 3250/34,2315/595

Given fractions are 3250/34,2315/595

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 3250,2315

Greatest Common Factor of Numerators i.e. GCF of 3250,2315 is 5 .

LCM of Denominators means LCM of 34,595 as per the given fractions.

LCM of 34,595 is 1190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3250,2315

GCF of Fractions 3250/34,2315/595 is 5/1190

5 3250, 2315
650, 463

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

Greatest Common Factor of 3250,2315 By Matching Biggest Common Factor Method

Greatest Common Factor of 3250,2315 By Matching Biggest Common Factor Method

Factors of 3250

List of positive integer factors of 3250 that divides 3250 without a remainder.

1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250

Factors of 2315

List of positive integer factors of 2315 that divides 2315 without a remainder.

1,5,463,2315

Greatest Common Factor

We found the factors 3250,2315 . The biggest common factor number is the GCF number.
So the greatest common factor 3250,2315 is 5.

Lets's calculate LCM of 34,595

17 34, 595
2, 35

∴ So the LCM of the given numbers is 17 x 2 x 35 = 1190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1190

Therefore, the GCF of Fractions 3250/34,2315/595 is 5/1190

Least Common Multiple of 34,595 with GCF Formula

Least Common Multiple of 34,595 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 34,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,595) = 17

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

GCF(34,595) x common factors =17 x 1 = 17

LCM(34,595) = ( 34 × 595 ) / 17

LCM(34,595) = 20230 / 17

LCM(34,595) = 1190


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 3250/34, 2315/595

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 3250/34, 2315/595?

Answer: GCF of Numerators as per given numbers 3250/34, 2315/595 is

GCF of Numerators i.e. for 3250,2315 is 5

LCM of denominators i.e. for 34,595 is 1190.

Thus, GCF of Fractions is 5/1190.Finally, GCF of Fractions for 3250/34, 2315/595 is 5/1190.