How to Find GCF of 4181/379, 4411/1626?

GCF of 4181/379, 4411/1626

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 4181/379, 4411/1626 i.e 1/616254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4181/379, 4411/1626.

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 4181/379,4411/1626?

Given fractions are 4181/379,4411/1626

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 4181/379,4411/1626, numerators are 4181,4411

Denominators are 379,1626

The GCF of 4181,4411 is 1 .

LCM of 379,1626 is 616254.

The greatest common factor of 4181/379,4411/1626 = [GCF of 4181,4411]/[LCM of 379,1626]= 1/616254

Therefore, the GCF of 4181/379,4411/1626 is 1/616254.

Greatest Common Factor of 4181,4411

To find the highest common factor of 4181,4411, we have to find the factors of both numbers and list the highest common factor.

The factors of 4181 are 1, 37, 113, 4181

The factors of 4411 are 1, 11, 401, 4411

The HCF of 4181,4411 is 1.

Lets's calculate GCF of 4181,4411

Greatest Common Factor (GCF) of 4181,4411 By Common Division

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

Greatest Common Factor of 4181,4411 By Matching Biggest Common Factor Method

Now, list down the factors of 4181

1,37,113,4181

Now, list down the factors of 4411

1,11,401,4411

Greatest Common Factor

We found the factors 4181,4411 . The biggest common factor number is the GCF number.
So the greatest common factor 4181,4411 is 1.

Lets's calculate LCM of 379,1626

Lowest Common Multiple of 379,1626 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 616254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616254

Therefore, the GCF of Fractions 4181/379,4411/1626 is 1/616254

Least Common Multiple of 379,1626 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 379,1626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,1626) = 1

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

GCF(379,1626) x common factors =1 x 1 = 1

LCM(379,1626) = ( 379 × 1626 ) / 1

LCM(379,1626) = 616254 / 1

LCM(379,1626) = 616254

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FAQs on GCF of Fractions of 4181/379, 4411/1626

1. What is the HCF of 4181,4411?

The HCF of 4181,4411 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 4181/379, 4411/1626?

Answer: GCF of Numerators as per given numbers 4181/379, 4411/1626 is

GCF of Numerators i.e. for 4181,4411 is 1

LCM of denominators i.e. for 379,1626 is 616254.

Thus, GCF of Fractions is 1/616254.Finally, GCF of Fractions for 4181/379, 4411/1626 is 1/616254.