Greatest Common Factor of 1522/149, 7387/4443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1522/149, 7387/4443

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 1522/149,7387/4443

Given fractions are 1522/149,7387/4443

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 1522,7387

Greatest Common Factor of Numerators i.e. GCF of 1522,7387 is 1 .

LCM of Denominators means LCM of 149,4443 as per the given fractions.

LCM of 149,4443 is 662007 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1522,7387

GCF of Fractions 1522/149,7387/4443 is 1/662007

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1522,7387 By Matching Biggest Common Factor Method

Greatest Common Factor of 1522,7387 By Matching Biggest Common Factor Method

Factors of 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1,2,761,1522

Factors of 7387

List of positive integer factors of 7387 that divides 7387 without a remainder.

1,83,89,7387

Greatest Common Factor

We found the factors 1522,7387 . The biggest common factor number is the GCF number.
So the greatest common factor 1522,7387 is 1.

Lets's calculate LCM of 149,4443

Given numbers has no common factors except 1. So, there LCM is their product i.e 662007

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/662007

Therefore, the GCF of Fractions 1522/149,7387/4443 is 1/662007

Least Common Multiple of 149,4443 with GCF Formula

Least Common Multiple of 149,4443 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 149,4443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,4443) = 1

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

GCF(149,4443) x common factors =1 x 1 = 1

LCM(149,4443) = ( 149 × 4443 ) / 1

LCM(149,4443) = 662007 / 1

LCM(149,4443) = 662007


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 1522/149, 7387/4443

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 1522/149, 7387/4443?

Answer: GCF of Numerators as per given numbers 1522/149, 7387/4443 is

GCF of Numerators i.e. for 1522,7387 is 1

LCM of denominators i.e. for 149,4443 is 662007.

Thus, GCF of Fractions is 1/662007.Finally, GCF of Fractions for 1522/149, 7387/4443 is 1/662007.