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GCF of 3779/601, 4315/8141

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 3779/601, 4315/8141 i.e 1/4892741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3779/601, 4315/8141.

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 3779/601,4315/8141?

Given fractions are 3779/601,4315/8141

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 3779/601,4315/8141, numerators are 3779,4315

Denominators are 601,8141

The GCF of 3779,4315 is 1 .

LCM of 601,8141 is 4892741.

The greatest common factor of 3779/601,4315/8141 = [GCF of 3779,4315]/[LCM of 601,8141]= 1/4892741

Therefore, the GCF of 3779/601,4315/8141 is 1/4892741.

Greatest Common Factor of 3779,4315

To find the highest common factor of 3779,4315, we have to find the factors of both numbers and list the highest common factor.

The factors of 3779 are 1, 3779

The factors of 4315 are 1, 5, 863, 4315

The HCF of 3779,4315 is 1.

Lets's calculate GCF of 3779,4315

Greatest Common Factor (GCF) of 3779,4315 By Common Division

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

Greatest Common Factor of 3779,4315 By Matching Biggest Common Factor Method

Greatest Common Factor of 3779,4315 By Matching Biggest Common Factor Method

Now, list down the factors of 3779

:

1,3779

Now, list down the factors of 4315

:

1,5,863,4315

Greatest Common Factor

We found the factors 3779,4315 . The biggest common factor number is the GCF number.
So the greatest common factor 3779,4315 is 1.

Lets's calculate LCM of 601,8141

Lowest Common Multiple of 601,8141 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4892741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4892741

Therefore, the GCF of Fractions 3779/601,4315/8141 is 1/4892741

Least Common Multiple of 601,8141 with GCF Formula

Least Common Multiple of 601,8141 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 601,8141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,8141) = 1

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

GCF(601,8141) x common factors =1 x 1 = 1

LCM(601,8141) = ( 601 × 8141 ) / 1

LCM(601,8141) = 4892741 / 1

LCM(601,8141) = 4892741


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FAQs on GCF of Fractions of 3779/601, 4315/8141

1. What is the HCF of 3779,4315?

The HCF of 3779,4315 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 3779/601, 4315/8141?

Answer: GCF of Numerators as per given numbers 3779/601, 4315/8141 is

GCF of Numerators i.e. for 3779,4315 is 1

LCM of denominators i.e. for 601,8141 is 4892741.

Thus, GCF of Fractions is 1/4892741.Finally, GCF of Fractions for 3779/601, 4315/8141 is 1/4892741.