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GCF of 93/427, 5757/8176

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 93/427, 5757/8176 i.e 3/498736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/427, 5757/8176.

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 93/427,5757/8176?

Given fractions are 93/427,5757/8176

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 93/427,5757/8176, numerators are 93,5757

Denominators are 427,8176

The GCF of 93,5757 is 3 .

LCM of 427,8176 is 498736.

The greatest common factor of 93/427,5757/8176 = [GCF of 93,5757]/[LCM of 427,8176]= 3/498736

Therefore, the GCF of 93/427,5757/8176 is 3/498736.

Greatest Common Factor of 93,5757

To find the highest common factor of 93,5757, we have to find the factors of both numbers and list the highest common factor.

The factors of 93 are 1, 3, 31, 93

The factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757

The HCF of 93,5757 is 3.

Lets's calculate GCF of 93,5757

Greatest Common Factor (GCF) of 93,5757 By Common Division

3 93, 5757
31, 1919

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 93,5757 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,5757 By Matching Biggest Common Factor Method

Now, list down the factors of 93

:

1,3,31,93

Now, list down the factors of 5757

:

1,3,19,57,101,303,1919,5757

Greatest Common Factor

We found the factors 93,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 93,5757 is 3.


Lets's calculate LCM of 427,8176

Lowest Common Multiple of 427,8176 using Common Division

7 427, 8176
61, 1168

∴ So the LCM of the given numbers is 7 x 61 x 1168 = 498736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/498736

Therefore, the GCF of Fractions 93/427,5757/8176 is 3/498736

Least Common Multiple of 427,8176 with GCF Formula

Least Common Multiple of 427,8176 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 427,8176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,8176) = 7

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

GCF(427,8176) x common factors =7 x 1 = 7

LCM(427,8176) = ( 427 × 8176 ) / 7

LCM(427,8176) = 3491152 / 7

LCM(427,8176) = 498736


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 93/427, 5757/8176

1. What is the HCF of 93,5757?

The HCF of 93,5757 is 3

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 93/427, 5757/8176?

Answer: GCF of Numerators as per given numbers 93/427, 5757/8176 is

GCF of Numerators i.e. for 93,5757 is 3

LCM of denominators i.e. for 427,8176 is 498736.

Thus, GCF of Fractions is 3/498736.Finally, GCF of Fractions for 93/427, 5757/8176 is 3/498736.