How to Find GCF of 92/600, 7797/5866?

GCF of 92/600, 7797/5866

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 92/600, 7797/5866 i.e 23/1759800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/600, 7797/5866.

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 92/600,7797/5866?

Given fractions are 92/600,7797/5866

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 92/600,7797/5866, numerators are 92,7797

Denominators are 600,5866

The GCF of 92,7797 is 23 .

LCM of 600,5866 is 1759800.

The greatest common factor of 92/600,7797/5866 = [GCF of 92,7797]/[LCM of 600,5866]= 23/1759800

Therefore, the GCF of 92/600,7797/5866 is 23/1759800.

Greatest Common Factor of 92,7797

To find the highest common factor of 92,7797, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797

The HCF of 92,7797 is 23.

Lets's calculate GCF of 92,7797

Greatest Common Factor (GCF) of 92,7797 By Common Division

23	92, 7797
	4, 339

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 92,7797 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 7797

1,3,23,69,113,339,2599,7797

Greatest Common Factor

We found the factors 92,7797 . The biggest common factor number is the GCF number.
So the greatest common factor 92,7797 is 23.

Lets's calculate LCM of 600,5866

Lowest Common Multiple of 600,5866 using Common Division

2	600, 5866
	300, 2933

∴ So the LCM of the given numbers is 2 x 300 x 2933 = 1759800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1759800

Therefore, the GCF of Fractions 92/600,7797/5866 is 23/1759800

Least Common Multiple of 600,5866 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 600,5866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,5866) = 2

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

GCF(600,5866) x common factors =2 x 1 = 2

LCM(600,5866) = ( 600 × 5866 ) / 2

LCM(600,5866) = 3519600 / 2

LCM(600,5866) = 1759800

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FAQs on GCF of Fractions of 92/600, 7797/5866

1. What is the HCF of 92,7797?

The HCF of 92,7797 is 23

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 92/600, 7797/5866?

Answer: GCF of Numerators as per given numbers 92/600, 7797/5866 is

GCF of Numerators i.e. for 92,7797 is 23

LCM of denominators i.e. for 600,5866 is 1759800.

Thus, GCF of Fractions is 23/1759800.Finally, GCF of Fractions for 92/600, 7797/5866 is 23/1759800.