Greatest Common Factor of 1522/42, 3449/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1522/42, 3449/769

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 1522/42,3449/769

Given fractions are 1522/42,3449/769

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 1522,3449

Greatest Common Factor of Numerators i.e. GCF of 1522,3449 is 1 .

LCM of Denominators means LCM of 42,769 as per the given fractions.

LCM of 42,769 is 32298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1522,3449

GCF of Fractions 1522/42,3449/769 is 1/32298

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

Greatest Common Factor of 1522,3449 By Matching Biggest Common Factor Method

Greatest Common Factor of 1522,3449 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 3449

List of positive integer factors of 3449 that divides 3449 without a remainder.

1,3449

Greatest Common Factor

We found the factors 1522,3449 . The biggest common factor number is the GCF number.
So the greatest common factor 1522,3449 is 1.

Lets's calculate LCM of 42,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 32298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32298

Therefore, the GCF of Fractions 1522/42,3449/769 is 1/32298

Least Common Multiple of 42,769 with GCF Formula

Least Common Multiple of 42,769 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 42,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,769) = 1

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

GCF(42,769) x common factors =1 x 1 = 1

LCM(42,769) = ( 42 × 769 ) / 1

LCM(42,769) = 32298 / 1

LCM(42,769) = 32298


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 1522/42, 3449/769

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 1522/42, 3449/769?

Answer: GCF of Numerators as per given numbers 1522/42, 3449/769 is

GCF of Numerators i.e. for 1522,3449 is 1

LCM of denominators i.e. for 42,769 is 32298.

Thus, GCF of Fractions is 1/32298.Finally, GCF of Fractions for 1522/42, 3449/769 is 1/32298.