How to Find GCF of 3799/601, 6065/7772?

GCF of 3799/601, 6065/7772

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 3799/601, 6065/7772 i.e 1/4670972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3799/601, 6065/7772.

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 3799/601,6065/7772?

Given fractions are 3799/601,6065/7772

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 3799/601,6065/7772, numerators are 3799,6065

Denominators are 601,7772

The GCF of 3799,6065 is 1 .

LCM of 601,7772 is 4670972.

The greatest common factor of 3799/601,6065/7772 = [GCF of 3799,6065]/[LCM of 601,7772]= 1/4670972

Therefore, the GCF of 3799/601,6065/7772 is 1/4670972.

Greatest Common Factor of 3799,6065

To find the highest common factor of 3799,6065, we have to find the factors of both numbers and list the highest common factor.

The factors of 3799 are 1, 29, 131, 3799

The factors of 6065 are 1, 5, 1213, 6065

The HCF of 3799,6065 is 1.

Lets's calculate GCF of 3799,6065

Greatest Common Factor (GCF) of 3799,6065 By Common Division

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

Greatest Common Factor of 3799,6065 By Matching Biggest Common Factor Method

Now, list down the factors of 3799

1,29,131,3799

Now, list down the factors of 6065

1,5,1213,6065

Greatest Common Factor

We found the factors 3799,6065 . The biggest common factor number is the GCF number.
So the greatest common factor 3799,6065 is 1.

Lets's calculate LCM of 601,7772

Lowest Common Multiple of 601,7772 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4670972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4670972

Therefore, the GCF of Fractions 3799/601,6065/7772 is 1/4670972

Least Common Multiple of 601,7772 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 601,7772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,7772) = 1

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

GCF(601,7772) x common factors =1 x 1 = 1

LCM(601,7772) = ( 601 × 7772 ) / 1

LCM(601,7772) = 4670972 / 1

LCM(601,7772) = 4670972

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FAQs on GCF of Fractions of 3799/601, 6065/7772

1. What is the HCF of 3799,6065?

The HCF of 3799,6065 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 3799/601, 6065/7772?

Answer: GCF of Numerators as per given numbers 3799/601, 6065/7772 is

GCF of Numerators i.e. for 3799,6065 is 1

LCM of denominators i.e. for 601,7772 is 4670972.

Thus, GCF of Fractions is 1/4670972.Finally, GCF of Fractions for 3799/601, 6065/7772 is 1/4670972.