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GCF of 594/108, 8092/1198

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 594/108, 8092/1198 i.e 2/64692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/108, 8092/1198.

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 594/108,8092/1198?

Given fractions are 594/108,8092/1198

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 594/108,8092/1198, numerators are 594,8092

Denominators are 108,1198

The GCF of 594,8092 is 2 .

LCM of 108,1198 is 64692.

The greatest common factor of 594/108,8092/1198 = [GCF of 594,8092]/[LCM of 108,1198]= 2/64692

Therefore, the GCF of 594/108,8092/1198 is 2/64692.

Greatest Common Factor of 594,8092

To find the highest common factor of 594,8092, 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 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092

The HCF of 594,8092 is 2.

Lets's calculate GCF of 594,8092

Greatest Common Factor (GCF) of 594,8092 By Common Division

2 594, 8092
297, 4046

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

Greatest Common Factor of 594,8092 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,8092 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 8092

:

1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092

Greatest Common Factor

We found the factors 594,8092 . The biggest common factor number is the GCF number.
So the greatest common factor 594,8092 is 2.


Lets's calculate LCM of 108,1198

Lowest Common Multiple of 108,1198 using Common Division

2 108, 1198
54, 599

∴ So the LCM of the given numbers is 2 x 54 x 599 = 64692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64692

Therefore, the GCF of Fractions 594/108,8092/1198 is 2/64692

Least Common Multiple of 108,1198 with GCF Formula

Least Common Multiple of 108,1198 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 108,1198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,1198) = 2

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

GCF(108,1198) x common factors =2 x 1 = 2

LCM(108,1198) = ( 108 × 1198 ) / 2

LCM(108,1198) = 129384 / 2

LCM(108,1198) = 64692


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 594/108, 8092/1198

1. What is the HCF of 594,8092?

The HCF of 594,8092 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 594/108, 8092/1198?

Answer: GCF of Numerators as per given numbers 594/108, 8092/1198 is

GCF of Numerators i.e. for 594,8092 is 2

LCM of denominators i.e. for 108,1198 is 64692.

Thus, GCF of Fractions is 2/64692.Finally, GCF of Fractions for 594/108, 8092/1198 is 2/64692.