Greatest Common Factor of 3234/61, 8511/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3234/61, 8511/196

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 3234/61,8511/196

Given fractions are 3234/61,8511/196

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 3234,8511

Greatest Common Factor of Numerators i.e. GCF of 3234,8511 is 3 .

LCM of Denominators means LCM of 61,196 as per the given fractions.

LCM of 61,196 is 11956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3234,8511

GCF of Fractions 3234/61,8511/196 is 3/11956

3 3234, 8511
1078, 2837

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3234,8511 By Matching Biggest Common Factor Method

Greatest Common Factor of 3234,8511 By Matching Biggest Common Factor Method

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234

Factors of 8511

List of positive integer factors of 8511 that divides 8511 without a remainder.

1,3,2837,8511

Greatest Common Factor

We found the factors 3234,8511 . The biggest common factor number is the GCF number.
So the greatest common factor 3234,8511 is 3.

Lets's calculate LCM of 61,196

Given numbers has no common factors except 1. So, there LCM is their product i.e 11956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11956

Therefore, the GCF of Fractions 3234/61,8511/196 is 3/11956

Least Common Multiple of 61,196 with GCF Formula

Least Common Multiple of 61,196 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 61,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,196) = 1

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

GCF(61,196) x common factors =1 x 1 = 1

LCM(61,196) = ( 61 × 196 ) / 1

LCM(61,196) = 11956 / 1

LCM(61,196) = 11956


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 3234/61, 8511/196

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 3234/61, 8511/196?

Answer: GCF of Numerators as per given numbers 3234/61, 8511/196 is

GCF of Numerators i.e. for 3234,8511 is 3

LCM of denominators i.e. for 61,196 is 11956.

Thus, GCF of Fractions is 3/11956.Finally, GCF of Fractions for 3234/61, 8511/196 is 3/11956.