How to Find GCF of 86/371, 61/670, 481/181?

GCF of 86/371, 61/670, 481/181

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 86/371, 61/670, 481/181 i.e 1/44991170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/371, 61/670, 481/181.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 86/371,61/670,481/181?

Given fractions are 86/371,61/670,481/181

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 86/371,61/670,481/181, numerators are 86,61,481

Denominators are 371,670,181

The GCF of 86,61,481 is 1 .

LCM of 371,670,181 is 44991170.

The greatest common factor of 86/371,61/670,481/181 = [GCF of 86,61,481]/[LCM of 371,670,181]= 1/44991170

Therefore, the GCF of 86/371,61/670,481/181 is 1/44991170.

Greatest Common Factor of 86,61,481

To find the highest common factor of 86,61,481, we have to find the factors of both numbers and list the highest common factor.

The factors of 86 are 1, 2, 43, 86

The factors of 61 are 1, 61

The factors of 481 are 1, 13, 37, 481

The HCF of 86,61,481 is 1.

Lets's calculate GCF of 86,61,481

Greatest Common Factor (GCF) of 86,61,481 By Common Division

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

Greatest Common Factor of 86,61,481 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 61

1,61

Now, list down the factors of 481

1,13,37,481

Greatest Common Factor

We found the factors 86,61,481 . The biggest common factor number is the GCF number.
So the greatest common factor 86,61,481 is 1.

Lets's calculate LCM of 371,670,181

Lowest Common Multiple of 371,670,181 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 44991170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44991170

Therefore, the GCF of Fractions 86/371,61/670,481/181 is 1/44991170

Least Common Multiple of 371,670,181 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 371,670,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,670,181) = 1

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

GCF(371,670,181) x common factors =1 x 1 = 1

LCM(371,670,181) = ( 371 × 670 × 181 ) / 1

LCM(371,670,181) = 44991170 / 1

LCM(371,670,181) = 44991170

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FAQs on GCF of Fractions of 86/371, 61/670, 481/181

1. What is the HCF of 86,61,481?

The HCF of 86,61,481 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 86/371, 61/670, 481/181?

Answer: GCF of Numerators as per given numbers 86/371, 61/670, 481/181 is

GCF of Numerators i.e. for 86,61,481 is 1

LCM of denominators i.e. for 371,670,181 is 44991170.

Thus, GCF of Fractions is 1/44991170.Finally, GCF of Fractions for 86/371, 61/670, 481/181 is 1/44991170.