How to Find GCF of 3899/387, 1567/6403?

GCF of 3899/387, 1567/6403

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 3899/387, 1567/6403 i.e 1/2477961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3899/387, 1567/6403.

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 3899/387,1567/6403?

Given fractions are 3899/387,1567/6403

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 3899/387,1567/6403, numerators are 3899,1567

Denominators are 387,6403

The GCF of 3899,1567 is 1 .

LCM of 387,6403 is 2477961.

The greatest common factor of 3899/387,1567/6403 = [GCF of 3899,1567]/[LCM of 387,6403]= 1/2477961

Therefore, the GCF of 3899/387,1567/6403 is 1/2477961.

Greatest Common Factor of 3899,1567

To find the highest common factor of 3899,1567, we have to find the factors of both numbers and list the highest common factor.

The factors of 3899 are 1, 7, 557, 3899

The factors of 1567 are 1, 1567

The HCF of 3899,1567 is 1.

Lets's calculate GCF of 3899,1567

Greatest Common Factor (GCF) of 3899,1567 By Common Division

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

Greatest Common Factor of 3899,1567 By Matching Biggest Common Factor Method

Now, list down the factors of 3899

1,7,557,3899

Now, list down the factors of 1567

1,1567

Greatest Common Factor

We found the factors 3899,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 3899,1567 is 1.

Lets's calculate LCM of 387,6403

Lowest Common Multiple of 387,6403 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2477961

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2477961

Therefore, the GCF of Fractions 3899/387,1567/6403 is 1/2477961

Least Common Multiple of 387,6403 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 387,6403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,6403) = 1

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

GCF(387,6403) x common factors =1 x 1 = 1

LCM(387,6403) = ( 387 × 6403 ) / 1

LCM(387,6403) = 2477961 / 1

LCM(387,6403) = 2477961

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FAQs on GCF of Fractions of 3899/387, 1567/6403

1. What is the HCF of 3899,1567?

The HCF of 3899,1567 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 3899/387, 1567/6403?

Answer: GCF of Numerators as per given numbers 3899/387, 1567/6403 is

GCF of Numerators i.e. for 3899,1567 is 1

LCM of denominators i.e. for 387,6403 is 2477961.

Thus, GCF of Fractions is 1/2477961.Finally, GCF of Fractions for 3899/387, 1567/6403 is 1/2477961.