How to Find GCF of 9861/391, 3874/9467?

GCF of 9861/391, 3874/9467

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 9861/391, 3874/9467 i.e 1/3701597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9861/391, 3874/9467.

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 9861/391,3874/9467?

Given fractions are 9861/391,3874/9467

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 9861/391,3874/9467, numerators are 9861,3874

Denominators are 391,9467

The GCF of 9861,3874 is 1 .

LCM of 391,9467 is 3701597.

The greatest common factor of 9861/391,3874/9467 = [GCF of 9861,3874]/[LCM of 391,9467]= 1/3701597

Therefore, the GCF of 9861/391,3874/9467 is 1/3701597.

Greatest Common Factor of 9861,3874

To find the highest common factor of 9861,3874, we have to find the factors of both numbers and list the highest common factor.

The factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861

The factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874

The HCF of 9861,3874 is 1.

Lets's calculate GCF of 9861,3874

Greatest Common Factor (GCF) of 9861,3874 By Common Division

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

Greatest Common Factor of 9861,3874 By Matching Biggest Common Factor Method

Now, list down the factors of 9861

1,3,19,57,173,519,3287,9861

Now, list down the factors of 3874

1,2,13,26,149,298,1937,3874

Greatest Common Factor

We found the factors 9861,3874 . The biggest common factor number is the GCF number.
So the greatest common factor 9861,3874 is 1.

Lets's calculate LCM of 391,9467

Lowest Common Multiple of 391,9467 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3701597

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3701597

Therefore, the GCF of Fractions 9861/391,3874/9467 is 1/3701597

Least Common Multiple of 391,9467 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 391,9467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,9467) = 1

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

GCF(391,9467) x common factors =1 x 1 = 1

LCM(391,9467) = ( 391 × 9467 ) / 1

LCM(391,9467) = 3701597 / 1

LCM(391,9467) = 3701597

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FAQs on GCF of Fractions of 9861/391, 3874/9467

1. What is the HCF of 9861,3874?

The HCF of 9861,3874 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 9861/391, 3874/9467?

Answer: GCF of Numerators as per given numbers 9861/391, 3874/9467 is

GCF of Numerators i.e. for 9861,3874 is 1

LCM of denominators i.e. for 391,9467 is 3701597.

Thus, GCF of Fractions is 1/3701597.Finally, GCF of Fractions for 9861/391, 3874/9467 is 1/3701597.