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GCF of 681/34, 401/404

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 681/34, 401/404 i.e 1/6868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 681/34, 401/404.

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 681/34,401/404?

Given fractions are 681/34,401/404

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 681/34,401/404, numerators are 681,401

Denominators are 34,404

The GCF of 681,401 is 1 .

LCM of 34,404 is 6868.

The greatest common factor of 681/34,401/404 = [GCF of 681,401]/[LCM of 34,404]= 1/6868

Therefore, the GCF of 681/34,401/404 is 1/6868.

Greatest Common Factor of 681,401

To find the highest common factor of 681,401, we have to find the factors of both numbers and list the highest common factor.

The factors of 681 are 1, 3, 227, 681

The factors of 401 are 1, 401

The HCF of 681,401 is 1.

Lets's calculate GCF of 681,401

Greatest Common Factor (GCF) of 681,401 By Common Division

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

Greatest Common Factor of 681,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,401 By Matching Biggest Common Factor Method

Now, list down the factors of 681

:

1,3,227,681

Now, list down the factors of 401

:

1,401

Greatest Common Factor

We found the factors 681,401 . The biggest common factor number is the GCF number.
So the greatest common factor 681,401 is 1.

Lets's calculate LCM of 34,404

Lowest Common Multiple of 34,404 using Common Division

2 34, 404
17, 202

∴ So the LCM of the given numbers is 2 x 17 x 202 = 6868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6868

Therefore, the GCF of Fractions 681/34,401/404 is 1/6868

Least Common Multiple of 34,404 with GCF Formula

Least Common Multiple of 34,404 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 34,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,404) = 2

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

GCF(34,404) x common factors =2 x 1 = 2

LCM(34,404) = ( 34 × 404 ) / 2

LCM(34,404) = 13736 / 2

LCM(34,404) = 6868


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FAQs on GCF of Fractions of 681/34, 401/404

1. What is the HCF of 681,401?

The HCF of 681,401 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 681/34, 401/404?

Answer: GCF of Numerators as per given numbers 681/34, 401/404 is

GCF of Numerators i.e. for 681,401 is 1

LCM of denominators i.e. for 34,404 is 6868.

Thus, GCF of Fractions is 1/6868.Finally, GCF of Fractions for 681/34, 401/404 is 1/6868.