How to Find GCF of 7594/992, 6093/7094?

GCF of 7594/992, 6093/7094

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 7594/992, 6093/7094 i.e 1/3518624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7594/992, 6093/7094.

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 7594/992,6093/7094?

Given fractions are 7594/992,6093/7094

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 7594/992,6093/7094, numerators are 7594,6093

Denominators are 992,7094

The GCF of 7594,6093 is 1 .

LCM of 992,7094 is 3518624.

The greatest common factor of 7594/992,6093/7094 = [GCF of 7594,6093]/[LCM of 992,7094]= 1/3518624

Therefore, the GCF of 7594/992,6093/7094 is 1/3518624.

Greatest Common Factor of 7594,6093

To find the highest common factor of 7594,6093, we have to find the factors of both numbers and list the highest common factor.

The factors of 7594 are 1, 2, 3797, 7594

The factors of 6093 are 1, 3, 9, 677, 2031, 6093

The HCF of 7594,6093 is 1.

Lets's calculate GCF of 7594,6093

Greatest Common Factor (GCF) of 7594,6093 By Common Division

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

Greatest Common Factor of 7594,6093 By Matching Biggest Common Factor Method

Now, list down the factors of 7594

1,2,3797,7594

Now, list down the factors of 6093

1,3,9,677,2031,6093

Greatest Common Factor

We found the factors 7594,6093 . The biggest common factor number is the GCF number.
So the greatest common factor 7594,6093 is 1.

Lets's calculate LCM of 992,7094

Lowest Common Multiple of 992,7094 using Common Division

2	992, 7094
	496, 3547

∴ So the LCM of the given numbers is 2 x 496 x 3547 = 3518624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3518624

Therefore, the GCF of Fractions 7594/992,6093/7094 is 1/3518624

Least Common Multiple of 992,7094 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 992,7094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,7094) = 2

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

GCF(992,7094) x common factors =2 x 1 = 2

LCM(992,7094) = ( 992 × 7094 ) / 2

LCM(992,7094) = 7037248 / 2

LCM(992,7094) = 3518624

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FAQs on GCF of Fractions of 7594/992, 6093/7094

1. What is the HCF of 7594,6093?

The HCF of 7594,6093 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 7594/992, 6093/7094?

Answer: GCF of Numerators as per given numbers 7594/992, 6093/7094 is

GCF of Numerators i.e. for 7594,6093 is 1

LCM of denominators i.e. for 992,7094 is 3518624.

Thus, GCF of Fractions is 1/3518624.Finally, GCF of Fractions for 7594/992, 6093/7094 is 1/3518624.