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GCF of 4083/194, 8035/802

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 4083/194, 8035/802 i.e 1/77794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4083/194, 8035/802.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4083/194,8035/802?

Given fractions are 4083/194,8035/802

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 4083/194,8035/802, numerators are 4083,8035

Denominators are 194,802

The GCF of 4083,8035 is 1 .

LCM of 194,802 is 77794.

The greatest common factor of 4083/194,8035/802 = [GCF of 4083,8035]/[LCM of 194,802]= 1/77794

Therefore, the GCF of 4083/194,8035/802 is 1/77794.

Greatest Common Factor of 4083,8035

To find the highest common factor of 4083,8035, we have to find the factors of both numbers and list the highest common factor.

The factors of 4083 are 1, 3, 1361, 4083

The factors of 8035 are 1, 5, 1607, 8035

The HCF of 4083,8035 is 1.

Lets's calculate GCF of 4083,8035

Greatest Common Factor (GCF) of 4083,8035 By Common Division

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

Greatest Common Factor of 4083,8035 By Matching Biggest Common Factor Method

Greatest Common Factor of 4083,8035 By Matching Biggest Common Factor Method

Now, list down the factors of 4083

:

1,3,1361,4083

Now, list down the factors of 8035

:

1,5,1607,8035

Greatest Common Factor

We found the factors 4083,8035 . The biggest common factor number is the GCF number.
So the greatest common factor 4083,8035 is 1.

Lets's calculate LCM of 194,802

Lowest Common Multiple of 194,802 using Common Division

2 194, 802
97, 401

∴ So the LCM of the given numbers is 2 x 97 x 401 = 77794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77794

Therefore, the GCF of Fractions 4083/194,8035/802 is 1/77794

Least Common Multiple of 194,802 with GCF Formula

Least Common Multiple of 194,802 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 194,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,802) = 2

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

GCF(194,802) x common factors =2 x 1 = 2

LCM(194,802) = ( 194 × 802 ) / 2

LCM(194,802) = 155588 / 2

LCM(194,802) = 77794


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FAQs on GCF of Fractions of 4083/194, 8035/802

1. What is the HCF of 4083,8035?

The HCF of 4083,8035 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 4083/194, 8035/802?

Answer: GCF of Numerators as per given numbers 4083/194, 8035/802 is

GCF of Numerators i.e. for 4083,8035 is 1

LCM of denominators i.e. for 194,802 is 77794.

Thus, GCF of Fractions is 1/77794.Finally, GCF of Fractions for 4083/194, 8035/802 is 1/77794.