Greatest Common Factor of 1421/592, 1628/7721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1421/592, 1628/7721

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 1421/592,1628/7721

Given fractions are 1421/592,1628/7721

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 1421,1628

Greatest Common Factor of Numerators i.e. GCF of 1421,1628 is 1 .

LCM of Denominators means LCM of 592,7721 as per the given fractions.

LCM of 592,7721 is 4570832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1421,1628

GCF of Fractions 1421/592,1628/7721 is 1/4570832

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

Greatest Common Factor of 1421,1628 By Matching Biggest Common Factor Method

Greatest Common Factor of 1421,1628 By Matching Biggest Common Factor Method

Factors of 1421

List of positive integer factors of 1421 that divides 1421 without a remainder.

1,7,29,49,203,1421

Factors of 1628

List of positive integer factors of 1628 that divides 1628 without a remainder.

1,2,4,11,22,37,44,74,148,407,814,1628

Greatest Common Factor

We found the factors 1421,1628 . The biggest common factor number is the GCF number.
So the greatest common factor 1421,1628 is 1.

Lets's calculate LCM of 592,7721

Given numbers has no common factors except 1. So, there LCM is their product i.e 4570832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4570832

Therefore, the GCF of Fractions 1421/592,1628/7721 is 1/4570832

Least Common Multiple of 592,7721 with GCF Formula

Least Common Multiple of 592,7721 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 592,7721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,7721) = 1

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

GCF(592,7721) x common factors =1 x 1 = 1

LCM(592,7721) = ( 592 × 7721 ) / 1

LCM(592,7721) = 4570832 / 1

LCM(592,7721) = 4570832


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 1421/592, 1628/7721

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 1421/592, 1628/7721?

Answer: GCF of Numerators as per given numbers 1421/592, 1628/7721 is

GCF of Numerators i.e. for 1421,1628 is 1

LCM of denominators i.e. for 592,7721 is 4570832.

Thus, GCF of Fractions is 1/4570832.Finally, GCF of Fractions for 1421/592, 1628/7721 is 1/4570832.