How to Find GCF of 3946/122, 9887/966?

GCF of 3946/122, 9887/966

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 3946/122, 9887/966 i.e 1/58926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3946/122, 9887/966.

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 3946/122,9887/966?

Given fractions are 3946/122,9887/966

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 3946/122,9887/966, numerators are 3946,9887

Denominators are 122,966

The GCF of 3946,9887 is 1 .

LCM of 122,966 is 58926.

The greatest common factor of 3946/122,9887/966 = [GCF of 3946,9887]/[LCM of 122,966]= 1/58926

Therefore, the GCF of 3946/122,9887/966 is 1/58926.

Greatest Common Factor of 3946,9887

To find the highest common factor of 3946,9887, we have to find the factors of both numbers and list the highest common factor.

The factors of 3946 are 1, 2, 1973, 3946

The factors of 9887 are 1, 9887

The HCF of 3946,9887 is 1.

Lets's calculate GCF of 3946,9887

Greatest Common Factor (GCF) of 3946,9887 By Common Division

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

Greatest Common Factor of 3946,9887 By Matching Biggest Common Factor Method

Now, list down the factors of 3946

1,2,1973,3946

Now, list down the factors of 9887

1,9887

Greatest Common Factor

We found the factors 3946,9887 . The biggest common factor number is the GCF number.
So the greatest common factor 3946,9887 is 1.

Lets's calculate LCM of 122,966

Lowest Common Multiple of 122,966 using Common Division

2	122, 966
	61, 483

∴ So the LCM of the given numbers is 2 x 61 x 483 = 58926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58926

Therefore, the GCF of Fractions 3946/122,9887/966 is 1/58926

Least Common Multiple of 122,966 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 122,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,966) = 2

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

GCF(122,966) x common factors =2 x 1 = 2

LCM(122,966) = ( 122 × 966 ) / 2

LCM(122,966) = 117852 / 2

LCM(122,966) = 58926

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FAQs on GCF of Fractions of 3946/122, 9887/966

1. What is the HCF of 3946,9887?

The HCF of 3946,9887 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 3946/122, 9887/966?

Answer: GCF of Numerators as per given numbers 3946/122, 9887/966 is

GCF of Numerators i.e. for 3946,9887 is 1

LCM of denominators i.e. for 122,966 is 58926.

Thus, GCF of Fractions is 1/58926.Finally, GCF of Fractions for 3946/122, 9887/966 is 1/58926.