How to Find GCF of 2980/915, 3821/2083?

GCF of 2980/915, 3821/2083

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 2980/915, 3821/2083 i.e 1/1905945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2980/915, 3821/2083.

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 2980/915,3821/2083?

Given fractions are 2980/915,3821/2083

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 2980/915,3821/2083, numerators are 2980,3821

Denominators are 915,2083

The GCF of 2980,3821 is 1 .

LCM of 915,2083 is 1905945.

The greatest common factor of 2980/915,3821/2083 = [GCF of 2980,3821]/[LCM of 915,2083]= 1/1905945

Therefore, the GCF of 2980/915,3821/2083 is 1/1905945.

Greatest Common Factor of 2980,3821

To find the highest common factor of 2980,3821, we have to find the factors of both numbers and list the highest common factor.

The factors of 2980 are 1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980

The factors of 3821 are 1, 3821

The HCF of 2980,3821 is 1.

Lets's calculate GCF of 2980,3821

Greatest Common Factor (GCF) of 2980,3821 By Common Division

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

Greatest Common Factor of 2980,3821 By Matching Biggest Common Factor Method

Now, list down the factors of 2980

1,2,4,5,10,20,149,298,596,745,1490,2980

Now, list down the factors of 3821

1,3821

Greatest Common Factor

We found the factors 2980,3821 . The biggest common factor number is the GCF number.
So the greatest common factor 2980,3821 is 1.

Lets's calculate LCM of 915,2083

Lowest Common Multiple of 915,2083 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1905945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1905945

Therefore, the GCF of Fractions 2980/915,3821/2083 is 1/1905945

Least Common Multiple of 915,2083 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 915,2083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,2083) = 1

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

GCF(915,2083) x common factors =1 x 1 = 1

LCM(915,2083) = ( 915 × 2083 ) / 1

LCM(915,2083) = 1905945 / 1

LCM(915,2083) = 1905945

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2980/915, 3821/2083

1. What is the HCF of 2980,3821?

The HCF of 2980,3821 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 2980/915, 3821/2083?

Answer: GCF of Numerators as per given numbers 2980/915, 3821/2083 is

GCF of Numerators i.e. for 2980,3821 is 1

LCM of denominators i.e. for 915,2083 is 1905945.

Thus, GCF of Fractions is 1/1905945.Finally, GCF of Fractions for 2980/915, 3821/2083 is 1/1905945.