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GCF of 617/20, 401/422

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 617/20, 401/422 i.e 1/4220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 617/20, 401/422.

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 617/20,401/422?

Given fractions are 617/20,401/422

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 617/20,401/422, numerators are 617,401

Denominators are 20,422

The GCF of 617,401 is 1 .

LCM of 20,422 is 4220.

The greatest common factor of 617/20,401/422 = [GCF of 617,401]/[LCM of 20,422]= 1/4220

Therefore, the GCF of 617/20,401/422 is 1/4220.

Greatest Common Factor of 617,401

To find the highest common factor of 617,401, we have to find the factors of both numbers and list the highest common factor.

The factors of 617 are 1, 617

The factors of 401 are 1, 401

The HCF of 617,401 is 1.

Lets's calculate GCF of 617,401

Greatest Common Factor (GCF) of 617,401 By Common Division

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

Greatest Common Factor of 617,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,401 By Matching Biggest Common Factor Method

Now, list down the factors of 617

:

1,617

Now, list down the factors of 401

:

1,401

Greatest Common Factor

We found the factors 617,401 . The biggest common factor number is the GCF number.
So the greatest common factor 617,401 is 1.

Lets's calculate LCM of 20,422

Lowest Common Multiple of 20,422 using Common Division

2 20, 422
10, 211

∴ So the LCM of the given numbers is 2 x 10 x 211 = 4220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4220

Therefore, the GCF of Fractions 617/20,401/422 is 1/4220

Least Common Multiple of 20,422 with GCF Formula

Least Common Multiple of 20,422 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 20,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,422) = 2

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

GCF(20,422) x common factors =2 x 1 = 2

LCM(20,422) = ( 20 × 422 ) / 2

LCM(20,422) = 8440 / 2

LCM(20,422) = 4220


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FAQs on GCF of Fractions of 617/20, 401/422

1. What is the HCF of 617,401?

The HCF of 617,401 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 617/20, 401/422?

Answer: GCF of Numerators as per given numbers 617/20, 401/422 is

GCF of Numerators i.e. for 617,401 is 1

LCM of denominators i.e. for 20,422 is 4220.

Thus, GCF of Fractions is 1/4220.Finally, GCF of Fractions for 617/20, 401/422 is 1/4220.