How to Find GCF of 3905/387, 2815/1454?

GCF of 3905/387, 2815/1454

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 3905/387, 2815/1454 i.e 5/562698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3905/387, 2815/1454.

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 3905/387,2815/1454?

Given fractions are 3905/387,2815/1454

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 3905/387,2815/1454, numerators are 3905,2815

Denominators are 387,1454

The GCF of 3905,2815 is 5 .

LCM of 387,1454 is 562698.

The greatest common factor of 3905/387,2815/1454 = [GCF of 3905,2815]/[LCM of 387,1454]= 5/562698

Therefore, the GCF of 3905/387,2815/1454 is 5/562698.

Greatest Common Factor of 3905,2815

To find the highest common factor of 3905,2815, we have to find the factors of both numbers and list the highest common factor.

The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905

The factors of 2815 are 1, 5, 563, 2815

The HCF of 3905,2815 is 5.

Lets's calculate GCF of 3905,2815

Greatest Common Factor (GCF) of 3905,2815 By Common Division

5	3905, 2815
	781, 563

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3905,2815 By Matching Biggest Common Factor Method

Now, list down the factors of 3905

1,5,11,55,71,355,781,3905

Now, list down the factors of 2815

1,5,563,2815

Greatest Common Factor

We found the factors 3905,2815 . The biggest common factor number is the GCF number.
So the greatest common factor 3905,2815 is 5.

Lets's calculate LCM of 387,1454

Lowest Common Multiple of 387,1454 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 562698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/562698

Therefore, the GCF of Fractions 3905/387,2815/1454 is 5/562698

Least Common Multiple of 387,1454 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 387,1454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,1454) = 1

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

GCF(387,1454) x common factors =1 x 1 = 1

LCM(387,1454) = ( 387 × 1454 ) / 1

LCM(387,1454) = 562698 / 1

LCM(387,1454) = 562698

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FAQs on GCF of Fractions of 3905/387, 2815/1454

1. What is the HCF of 3905,2815?

The HCF of 3905,2815 is 5

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 3905/387, 2815/1454?

Answer: GCF of Numerators as per given numbers 3905/387, 2815/1454 is

GCF of Numerators i.e. for 3905,2815 is 5

LCM of denominators i.e. for 387,1454 is 562698.

Thus, GCF of Fractions is 5/562698.Finally, GCF of Fractions for 3905/387, 2815/1454 is 5/562698.