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GCF of 341/40, 721/372

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 341/40, 721/372 i.e 1/3720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/40, 721/372.

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 341/40,721/372?

Given fractions are 341/40,721/372

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 341/40,721/372, numerators are 341,721

Denominators are 40,372

The GCF of 341,721 is 1 .

LCM of 40,372 is 3720.

The greatest common factor of 341/40,721/372 = [GCF of 341,721]/[LCM of 40,372]= 1/3720

Therefore, the GCF of 341/40,721/372 is 1/3720.

Greatest Common Factor of 341,721

To find the highest common factor of 341,721, we have to find the factors of both numbers and list the highest common factor.

The factors of 341 are 1, 11, 31, 341

The factors of 721 are 1, 7, 103, 721

The HCF of 341,721 is 1.

Lets's calculate GCF of 341,721

Greatest Common Factor (GCF) of 341,721 By Common Division

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

Greatest Common Factor of 341,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,721 By Matching Biggest Common Factor Method

Now, list down the factors of 341

:

1,11,31,341

Now, list down the factors of 721

:

1,7,103,721

Greatest Common Factor

We found the factors 341,721 . The biggest common factor number is the GCF number.
So the greatest common factor 341,721 is 1.

Lets's calculate LCM of 40,372

Lowest Common Multiple of 40,372 using Common Division

2 40, 372
2 20, 186
10, 93

∴ So the LCM of the given numbers is 2 x 2 x 10 x 93 = 3720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3720

Therefore, the GCF of Fractions 341/40,721/372 is 1/3720

Least Common Multiple of 40,372 with GCF Formula

Least Common Multiple of 40,372 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 40,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,372) = 4

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

GCF(40,372) x common factors =4 x 1 = 4

LCM(40,372) = ( 40 × 372 ) / 4

LCM(40,372) = 14880 / 4

LCM(40,372) = 3720


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FAQs on GCF of Fractions of 341/40, 721/372

1. What is the HCF of 341,721?

The HCF of 341,721 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 341/40, 721/372?

Answer: GCF of Numerators as per given numbers 341/40, 721/372 is

GCF of Numerators i.e. for 341,721 is 1

LCM of denominators i.e. for 40,372 is 3720.

Thus, GCF of Fractions is 1/3720.Finally, GCF of Fractions for 341/40, 721/372 is 1/3720.