How to Find GCF of 3602/404, 7519/2094?

GCF of 3602/404, 7519/2094

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3602/404, 7519/2094 i.e 1/422988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3602/404, 7519/2094.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3602/404,7519/2094?

Given fractions are 3602/404,7519/2094

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3602/404,7519/2094, numerators are 3602,7519

Denominators are 404,2094

The GCF of 3602,7519 is 1 .

LCM of 404,2094 is 422988.

The greatest common factor of 3602/404,7519/2094 = [GCF of 3602,7519]/[LCM of 404,2094]= 1/422988

Therefore, the GCF of 3602/404,7519/2094 is 1/422988.

Greatest Common Factor of 3602,7519

To find the highest common factor of 3602,7519, we have to find the factors of both numbers and list the highest common factor.

The factors of 3602 are 1, 2, 1801, 3602

The factors of 7519 are 1, 73, 103, 7519

The HCF of 3602,7519 is 1.

Lets's calculate GCF of 3602,7519

Greatest Common Factor (GCF) of 3602,7519 By Common Division

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

Greatest Common Factor of 3602,7519 By Matching Biggest Common Factor Method

Now, list down the factors of 3602

1,2,1801,3602

Now, list down the factors of 7519

1,73,103,7519

Greatest Common Factor

We found the factors 3602,7519 . The biggest common factor number is the GCF number.
So the greatest common factor 3602,7519 is 1.

Lets's calculate LCM of 404,2094

Lowest Common Multiple of 404,2094 using Common Division

2	404, 2094
	202, 1047

∴ So the LCM of the given numbers is 2 x 202 x 1047 = 422988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422988

Therefore, the GCF of Fractions 3602/404,7519/2094 is 1/422988

Least Common Multiple of 404,2094 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 404,2094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,2094) = 2

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

GCF(404,2094) x common factors =2 x 1 = 2

LCM(404,2094) = ( 404 × 2094 ) / 2

LCM(404,2094) = 845976 / 2

LCM(404,2094) = 422988

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3602/404, 7519/2094

1. What is the HCF of 3602,7519?

The HCF of 3602,7519 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 3602/404, 7519/2094?

Answer: GCF of Numerators as per given numbers 3602/404, 7519/2094 is

GCF of Numerators i.e. for 3602,7519 is 1

LCM of denominators i.e. for 404,2094 is 422988.

Thus, GCF of Fractions is 1/422988.Finally, GCF of Fractions for 3602/404, 7519/2094 is 1/422988.