Greatest Common Factor of 3426/595, 2958/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3426/595, 2958/149

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 3426/595,2958/149

Given fractions are 3426/595,2958/149

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 3426,2958

Greatest Common Factor of Numerators i.e. GCF of 3426,2958 is 6 .

LCM of Denominators means LCM of 595,149 as per the given fractions.

LCM of 595,149 is 88655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3426,2958

GCF of Fractions 3426/595,2958/149 is 6/88655

2 3426, 2958
3 1713, 1479
571, 493

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3426,2958 By Matching Biggest Common Factor Method

Greatest Common Factor of 3426,2958 By Matching Biggest Common Factor Method

Factors of 3426

List of positive integer factors of 3426 that divides 3426 without a remainder.

1,2,3,6,571,1142,1713,3426

Factors of 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958

Greatest Common Factor

We found the factors 3426,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 3426,2958 is 6.

Lets's calculate LCM of 595,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 88655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/88655

Therefore, the GCF of Fractions 3426/595,2958/149 is 6/88655

Least Common Multiple of 595,149 with GCF Formula

Least Common Multiple of 595,149 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 595,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,149) = 1

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

GCF(595,149) x common factors =1 x 1 = 1

LCM(595,149) = ( 595 × 149 ) / 1

LCM(595,149) = 88655 / 1

LCM(595,149) = 88655


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 3426/595, 2958/149

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 3426/595, 2958/149?

Answer: GCF of Numerators as per given numbers 3426/595, 2958/149 is

GCF of Numerators i.e. for 3426,2958 is 6

LCM of denominators i.e. for 595,149 is 88655.

Thus, GCF of Fractions is 6/88655.Finally, GCF of Fractions for 3426/595, 2958/149 is 6/88655.