Greatest Common Factor of 4611/766, 8236/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4611/766, 8236/197

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 4611/766,8236/197

Given fractions are 4611/766,8236/197

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 4611,8236

Greatest Common Factor of Numerators i.e. GCF of 4611,8236 is 29 .

LCM of Denominators means LCM of 766,197 as per the given fractions.

LCM of 766,197 is 150902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4611,8236

GCF of Fractions 4611/766,8236/197 is 29/150902

29 4611, 8236
159, 284

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 4611,8236 By Matching Biggest Common Factor Method

Greatest Common Factor of 4611,8236 By Matching Biggest Common Factor Method

Factors of 4611

List of positive integer factors of 4611 that divides 4611 without a remainder.

1,3,29,53,87,159,1537,4611

Factors of 8236

List of positive integer factors of 8236 that divides 8236 without a remainder.

1,2,4,29,58,71,116,142,284,2059,4118,8236

Greatest Common Factor

We found the factors 4611,8236 . The biggest common factor number is the GCF number.
So the greatest common factor 4611,8236 is 29.

Lets's calculate LCM of 766,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 150902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/150902

Therefore, the GCF of Fractions 4611/766,8236/197 is 29/150902

Least Common Multiple of 766,197 with GCF Formula

Least Common Multiple of 766,197 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 766,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,197) = 1

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

GCF(766,197) x common factors =1 x 1 = 1

LCM(766,197) = ( 766 × 197 ) / 1

LCM(766,197) = 150902 / 1

LCM(766,197) = 150902


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 4611/766, 8236/197

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 4611/766, 8236/197?

Answer: GCF of Numerators as per given numbers 4611/766, 8236/197 is

GCF of Numerators i.e. for 4611,8236 is 29

LCM of denominators i.e. for 766,197 is 150902.

Thus, GCF of Fractions is 29/150902.Finally, GCF of Fractions for 4611/766, 8236/197 is 29/150902.