Greatest Common Factor of 196/147, 3266/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/147, 3266/595

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 196/147,3266/595

Given fractions are 196/147,3266/595

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 196,3266

Greatest Common Factor of Numerators i.e. GCF of 196,3266 is 2 .

LCM of Denominators means LCM of 147,595 as per the given fractions.

LCM of 147,595 is 12495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,3266

GCF of Fractions 196/147,3266/595 is 2/12495

2 196, 3266
98, 1633

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 196,3266 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,3266 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 3266

List of positive integer factors of 3266 that divides 3266 without a remainder.

1,2,23,46,71,142,1633,3266

Greatest Common Factor

We found the factors 196,3266 . The biggest common factor number is the GCF number.
So the greatest common factor 196,3266 is 2.

Lets's calculate LCM of 147,595

7 147, 595
21, 85

∴ So the LCM of the given numbers is 7 x 21 x 85 = 12495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12495

Therefore, the GCF of Fractions 196/147,3266/595 is 2/12495

Least Common Multiple of 147,595 with GCF Formula

Least Common Multiple of 147,595 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 147,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,595) = 7

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

GCF(147,595) x common factors =7 x 1 = 7

LCM(147,595) = ( 147 × 595 ) / 7

LCM(147,595) = 87465 / 7

LCM(147,595) = 12495


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 196/147, 3266/595

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 196/147, 3266/595?

Answer: GCF of Numerators as per given numbers 196/147, 3266/595 is

GCF of Numerators i.e. for 196,3266 is 2

LCM of denominators i.e. for 147,595 is 12495.

Thus, GCF of Fractions is 2/12495.Finally, GCF of Fractions for 196/147, 3266/595 is 2/12495.