How to Find GCF of 8045/221, 2377/5942?

GCF of 8045/221, 2377/5942

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 8045/221, 2377/5942 i.e 1/1313182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8045/221, 2377/5942.

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 8045/221,2377/5942?

Given fractions are 8045/221,2377/5942

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 8045/221,2377/5942, numerators are 8045,2377

Denominators are 221,5942

The GCF of 8045,2377 is 1 .

LCM of 221,5942 is 1313182.

The greatest common factor of 8045/221,2377/5942 = [GCF of 8045,2377]/[LCM of 221,5942]= 1/1313182

Therefore, the GCF of 8045/221,2377/5942 is 1/1313182.

Greatest Common Factor of 8045,2377

To find the highest common factor of 8045,2377, we have to find the factors of both numbers and list the highest common factor.

The factors of 8045 are 1, 5, 1609, 8045

The factors of 2377 are 1, 2377

The HCF of 8045,2377 is 1.

Lets's calculate GCF of 8045,2377

Greatest Common Factor (GCF) of 8045,2377 By Common Division

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

Greatest Common Factor of 8045,2377 By Matching Biggest Common Factor Method

Now, list down the factors of 8045

1,5,1609,8045

Now, list down the factors of 2377

1,2377

Greatest Common Factor

We found the factors 8045,2377 . The biggest common factor number is the GCF number.
So the greatest common factor 8045,2377 is 1.

Lets's calculate LCM of 221,5942

Lowest Common Multiple of 221,5942 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1313182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1313182

Therefore, the GCF of Fractions 8045/221,2377/5942 is 1/1313182

Least Common Multiple of 221,5942 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 221,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,5942) = 1

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

GCF(221,5942) x common factors =1 x 1 = 1

LCM(221,5942) = ( 221 × 5942 ) / 1

LCM(221,5942) = 1313182 / 1

LCM(221,5942) = 1313182

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FAQs on GCF of Fractions of 8045/221, 2377/5942

1. What is the HCF of 8045,2377?

The HCF of 8045,2377 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 8045/221, 2377/5942?

Answer: GCF of Numerators as per given numbers 8045/221, 2377/5942 is

GCF of Numerators i.e. for 8045,2377 is 1

LCM of denominators i.e. for 221,5942 is 1313182.

Thus, GCF of Fractions is 1/1313182.Finally, GCF of Fractions for 8045/221, 2377/5942 is 1/1313182.