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GCF of 7194/940, 9596/2332

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 7194/940, 9596/2332 i.e 2/548020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7194/940, 9596/2332.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 7194/940,9596/2332?

Given fractions are 7194/940,9596/2332

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 7194/940,9596/2332, numerators are 7194,9596

Denominators are 940,2332

The GCF of 7194,9596 is 2 .

LCM of 940,2332 is 548020.

The greatest common factor of 7194/940,9596/2332 = [GCF of 7194,9596]/[LCM of 940,2332]= 2/548020

Therefore, the GCF of 7194/940,9596/2332 is 2/548020.

Greatest Common Factor of 7194,9596

To find the highest common factor of 7194,9596, we have to find the factors of both numbers and list the highest common factor.

The factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194

The factors of 9596 are 1, 2, 4, 2399, 4798, 9596

The HCF of 7194,9596 is 2.

Lets's calculate GCF of 7194,9596

Greatest Common Factor (GCF) of 7194,9596 By Common Division

2 7194, 9596
3597, 4798

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7194,9596 By Matching Biggest Common Factor Method

Greatest Common Factor of 7194,9596 By Matching Biggest Common Factor Method

Now, list down the factors of 7194

:

1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194

Now, list down the factors of 9596

:

1,2,4,2399,4798,9596

Greatest Common Factor

We found the factors 7194,9596 . The biggest common factor number is the GCF number.
So the greatest common factor 7194,9596 is 2.


Lets's calculate LCM of 940,2332

Lowest Common Multiple of 940,2332 using Common Division

2 940, 2332
2 470, 1166
235, 583

∴ So the LCM of the given numbers is 2 x 2 x 235 x 583 = 548020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/548020

Therefore, the GCF of Fractions 7194/940,9596/2332 is 2/548020

Least Common Multiple of 940,2332 with GCF Formula

Least Common Multiple of 940,2332 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 940,2332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,2332) = 4

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

GCF(940,2332) x common factors =4 x 1 = 4

LCM(940,2332) = ( 940 × 2332 ) / 4

LCM(940,2332) = 2192080 / 4

LCM(940,2332) = 548020


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7194/940, 9596/2332

1. What is the HCF of 7194,9596?

The HCF of 7194,9596 is 2

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 7194/940, 9596/2332?

Answer: GCF of Numerators as per given numbers 7194/940, 9596/2332 is

GCF of Numerators i.e. for 7194,9596 is 2

LCM of denominators i.e. for 940,2332 is 548020.

Thus, GCF of Fractions is 2/548020.Finally, GCF of Fractions for 7194/940, 9596/2332 is 2/548020.