Greatest Common Factor of 4767/122, 4581/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4767/122, 4581/101

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 4767/122,4581/101

Given fractions are 4767/122,4581/101

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 4767,4581

Greatest Common Factor of Numerators i.e. GCF of 4767,4581 is 3 .

LCM of Denominators means LCM of 122,101 as per the given fractions.

LCM of 122,101 is 12322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4767,4581

GCF of Fractions 4767/122,4581/101 is 3/12322

3 4767, 4581
1589, 1527

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

Greatest Common Factor of 4767,4581 By Matching Biggest Common Factor Method

Greatest Common Factor of 4767,4581 By Matching Biggest Common Factor Method

Factors of 4767

List of positive integer factors of 4767 that divides 4767 without a remainder.

1,3,7,21,227,681,1589,4767

Factors of 4581

List of positive integer factors of 4581 that divides 4581 without a remainder.

1,3,9,509,1527,4581

Greatest Common Factor

We found the factors 4767,4581 . The biggest common factor number is the GCF number.
So the greatest common factor 4767,4581 is 3.

Lets's calculate LCM of 122,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 12322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12322

Therefore, the GCF of Fractions 4767/122,4581/101 is 3/12322

Least Common Multiple of 122,101 with GCF Formula

Least Common Multiple of 122,101 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 122,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,101) = 1

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

GCF(122,101) x common factors =1 x 1 = 1

LCM(122,101) = ( 122 × 101 ) / 1

LCM(122,101) = 12322 / 1

LCM(122,101) = 12322


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 4767/122, 4581/101

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 4767/122, 4581/101?

Answer: GCF of Numerators as per given numbers 4767/122, 4581/101 is

GCF of Numerators i.e. for 4767,4581 is 3

LCM of denominators i.e. for 122,101 is 12322.

Thus, GCF of Fractions is 3/12322.Finally, GCF of Fractions for 4767/122, 4581/101 is 3/12322.