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GCF of 731/238, 3281/755

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 731/238, 3281/755 i.e 17/179690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/238, 3281/755.

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 731/238,3281/755?

Given fractions are 731/238,3281/755

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 731/238,3281/755, numerators are 731,3281

Denominators are 238,755

The GCF of 731,3281 is 17 .

LCM of 238,755 is 179690.

The greatest common factor of 731/238,3281/755 = [GCF of 731,3281]/[LCM of 238,755]= 17/179690

Therefore, the GCF of 731/238,3281/755 is 17/179690.

Greatest Common Factor of 731,3281

To find the highest common factor of 731,3281, we have to find the factors of both numbers and list the highest common factor.

The factors of 731 are 1, 17, 43, 731

The factors of 3281 are 1, 17, 193, 3281

The HCF of 731,3281 is 17.

Lets's calculate GCF of 731,3281

Greatest Common Factor (GCF) of 731,3281 By Common Division

17 731, 3281
43, 193

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 731,3281 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,3281 By Matching Biggest Common Factor Method

Now, list down the factors of 731

:

1,17,43,731

Now, list down the factors of 3281

:

1,17,193,3281

Greatest Common Factor

We found the factors 731,3281 . The biggest common factor number is the GCF number.
So the greatest common factor 731,3281 is 17.

Lets's calculate LCM of 238,755

Lowest Common Multiple of 238,755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 179690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/179690

Therefore, the GCF of Fractions 731/238,3281/755 is 17/179690

Least Common Multiple of 238,755 with GCF Formula

Least Common Multiple of 238,755 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 238,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,755) = 1

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

GCF(238,755) x common factors =1 x 1 = 1

LCM(238,755) = ( 238 × 755 ) / 1

LCM(238,755) = 179690 / 1

LCM(238,755) = 179690


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FAQs on GCF of Fractions of 731/238, 3281/755

1. What is the HCF of 731,3281?

The HCF of 731,3281 is 17

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 731/238, 3281/755?

Answer: GCF of Numerators as per given numbers 731/238, 3281/755 is

GCF of Numerators i.e. for 731,3281 is 17

LCM of denominators i.e. for 238,755 is 179690.

Thus, GCF of Fractions is 17/179690.Finally, GCF of Fractions for 731/238, 3281/755 is 17/179690.