How to Find GCF of 3813/37, 5159/924?

GCF of 3813/37, 5159/924

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 3813/37, 5159/924 i.e 1/34188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3813/37, 5159/924.

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 3813/37,5159/924?

Given fractions are 3813/37,5159/924

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 3813/37,5159/924, numerators are 3813,5159

Denominators are 37,924

The GCF of 3813,5159 is 1 .

LCM of 37,924 is 34188.

The greatest common factor of 3813/37,5159/924 = [GCF of 3813,5159]/[LCM of 37,924]= 1/34188

Therefore, the GCF of 3813/37,5159/924 is 1/34188.

Greatest Common Factor of 3813,5159

To find the highest common factor of 3813,5159, we have to find the factors of both numbers and list the highest common factor.

The factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813

The factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159

The HCF of 3813,5159 is 1.

Lets's calculate GCF of 3813,5159

Greatest Common Factor (GCF) of 3813,5159 By Common Division

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

Greatest Common Factor of 3813,5159 By Matching Biggest Common Factor Method

Now, list down the factors of 3813

1,3,31,41,93,123,1271,3813

Now, list down the factors of 5159

1,7,11,67,77,469,737,5159

Greatest Common Factor

We found the factors 3813,5159 . The biggest common factor number is the GCF number.
So the greatest common factor 3813,5159 is 1.

Lets's calculate LCM of 37,924

Lowest Common Multiple of 37,924 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34188

Therefore, the GCF of Fractions 3813/37,5159/924 is 1/34188

Least Common Multiple of 37,924 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 37,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,924) = 1

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

GCF(37,924) x common factors =1 x 1 = 1

LCM(37,924) = ( 37 × 924 ) / 1

LCM(37,924) = 34188 / 1

LCM(37,924) = 34188

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FAQs on GCF of Fractions of 3813/37, 5159/924

1. What is the HCF of 3813,5159?

The HCF of 3813,5159 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 3813/37, 5159/924?

Answer: GCF of Numerators as per given numbers 3813/37, 5159/924 is

GCF of Numerators i.e. for 3813,5159 is 1

LCM of denominators i.e. for 37,924 is 34188.

Thus, GCF of Fractions is 1/34188.Finally, GCF of Fractions for 3813/37, 5159/924 is 1/34188.