How to Find GCF of 3815/936, 5993/996?

GCF of 3815/936, 5993/996

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 3815/936, 5993/996 i.e 1/77688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3815/936, 5993/996.

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 3815/936,5993/996?

Given fractions are 3815/936,5993/996

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 3815/936,5993/996, numerators are 3815,5993

Denominators are 936,996

The GCF of 3815,5993 is 1 .

LCM of 936,996 is 77688.

The greatest common factor of 3815/936,5993/996 = [GCF of 3815,5993]/[LCM of 936,996]= 1/77688

Therefore, the GCF of 3815/936,5993/996 is 1/77688.

Greatest Common Factor of 3815,5993

To find the highest common factor of 3815,5993, we have to find the factors of both numbers and list the highest common factor.

The factors of 3815 are 1, 5, 7, 35, 109, 545, 763, 3815

The factors of 5993 are 1, 13, 461, 5993

The HCF of 3815,5993 is 1.

Lets's calculate GCF of 3815,5993

Greatest Common Factor (GCF) of 3815,5993 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3815,5993 By Matching Biggest Common Factor Method

Now, list down the factors of 3815

1,5,7,35,109,545,763,3815

Now, list down the factors of 5993

1,13,461,5993

Greatest Common Factor

We found the factors 3815,5993 . The biggest common factor number is the GCF number.
So the greatest common factor 3815,5993 is 1.

Lets's calculate LCM of 936,996

Lowest Common Multiple of 936,996 using Common Division

2	936, 996
2	468, 498
3	234, 249
	78, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 78 x 83 = 77688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77688

Therefore, the GCF of Fractions 3815/936,5993/996 is 1/77688

Least Common Multiple of 936,996 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 936,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,996) = 12

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

GCF(936,996) x common factors =12 x 1 = 12

LCM(936,996) = ( 936 × 996 ) / 12

LCM(936,996) = 932256 / 12

LCM(936,996) = 77688

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3815/936, 5993/996

1. What is the HCF of 3815,5993?

The HCF of 3815,5993 is 1

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 3815/936, 5993/996?

Answer: GCF of Numerators as per given numbers 3815/936, 5993/996 is

GCF of Numerators i.e. for 3815,5993 is 1

LCM of denominators i.e. for 936,996 is 77688.

Thus, GCF of Fractions is 1/77688.Finally, GCF of Fractions for 3815/936, 5993/996 is 1/77688.