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GCF of 594/872, 936/694

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 594/872, 936/694 i.e 18/302584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/872, 936/694.

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 594/872,936/694?

Given fractions are 594/872,936/694

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 594/872,936/694, numerators are 594,936

Denominators are 872,694

The GCF of 594,936 is 18 .

LCM of 872,694 is 302584.

The greatest common factor of 594/872,936/694 = [GCF of 594,936]/[LCM of 872,694]= 18/302584

Therefore, the GCF of 594/872,936/694 is 18/302584.

Greatest Common Factor of 594,936

To find the highest common factor of 594,936, we have to find the factors of both numbers and list the highest common factor.

The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

The HCF of 594,936 is 18.

Lets's calculate GCF of 594,936

Greatest Common Factor (GCF) of 594,936 By Common Division

2 594, 936
3 297, 468
3 99, 156
33, 52

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 594,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,936 By Matching Biggest Common Factor Method

Now, list down the factors of 594

:

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Now, list down the factors of 936

:

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 594,936 . The biggest common factor number is the GCF number.
So the greatest common factor 594,936 is 18.


Lets's calculate LCM of 872,694

Lowest Common Multiple of 872,694 using Common Division

2 872, 694
436, 347

∴ So the LCM of the given numbers is 2 x 436 x 347 = 302584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/302584

Therefore, the GCF of Fractions 594/872,936/694 is 18/302584

Least Common Multiple of 872,694 with GCF Formula

Least Common Multiple of 872,694 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 872,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,694) = 2

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

GCF(872,694) x common factors =2 x 1 = 2

LCM(872,694) = ( 872 × 694 ) / 2

LCM(872,694) = 605168 / 2

LCM(872,694) = 302584


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 594/872, 936/694

1. What is the HCF of 594,936?

The HCF of 594,936 is 18

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 594/872, 936/694?

Answer: GCF of Numerators as per given numbers 594/872, 936/694 is

GCF of Numerators i.e. for 594,936 is 18

LCM of denominators i.e. for 872,694 is 302584.

Thus, GCF of Fractions is 18/302584.Finally, GCF of Fractions for 594/872, 936/694 is 18/302584.