How to Find GCF of 3406/271, 6945/8988?

GCF of 3406/271, 6945/8988

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 3406/271, 6945/8988 i.e 1/2435748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3406/271, 6945/8988.

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 3406/271,6945/8988?

Given fractions are 3406/271,6945/8988

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 3406/271,6945/8988, numerators are 3406,6945

Denominators are 271,8988

The GCF of 3406,6945 is 1 .

LCM of 271,8988 is 2435748.

The greatest common factor of 3406/271,6945/8988 = [GCF of 3406,6945]/[LCM of 271,8988]= 1/2435748

Therefore, the GCF of 3406/271,6945/8988 is 1/2435748.

Greatest Common Factor of 3406,6945

To find the highest common factor of 3406,6945, we have to find the factors of both numbers and list the highest common factor.

The factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406

The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945

The HCF of 3406,6945 is 1.

Lets's calculate GCF of 3406,6945

Greatest Common Factor (GCF) of 3406,6945 By Common Division

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

Greatest Common Factor of 3406,6945 By Matching Biggest Common Factor Method

Now, list down the factors of 3406

1,2,13,26,131,262,1703,3406

Now, list down the factors of 6945

1,3,5,15,463,1389,2315,6945

Greatest Common Factor

We found the factors 3406,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 3406,6945 is 1.

Lets's calculate LCM of 271,8988

Lowest Common Multiple of 271,8988 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2435748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2435748

Therefore, the GCF of Fractions 3406/271,6945/8988 is 1/2435748

Least Common Multiple of 271,8988 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 271,8988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,8988) = 1

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

GCF(271,8988) x common factors =1 x 1 = 1

LCM(271,8988) = ( 271 × 8988 ) / 1

LCM(271,8988) = 2435748 / 1

LCM(271,8988) = 2435748

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FAQs on GCF of Fractions of 3406/271, 6945/8988

1. What is the HCF of 3406,6945?

The HCF of 3406,6945 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 3406/271, 6945/8988?

Answer: GCF of Numerators as per given numbers 3406/271, 6945/8988 is

GCF of Numerators i.e. for 3406,6945 is 1

LCM of denominators i.e. for 271,8988 is 2435748.

Thus, GCF of Fractions is 1/2435748.Finally, GCF of Fractions for 3406/271, 6945/8988 is 1/2435748.