How to Find GCF of 6212/709, 3865/3714?

GCF of 6212/709, 3865/3714

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 6212/709, 3865/3714 i.e 1/2633226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6212/709, 3865/3714.

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 6212/709,3865/3714?

Given fractions are 6212/709,3865/3714

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 6212/709,3865/3714, numerators are 6212,3865

Denominators are 709,3714

The GCF of 6212,3865 is 1 .

LCM of 709,3714 is 2633226.

The greatest common factor of 6212/709,3865/3714 = [GCF of 6212,3865]/[LCM of 709,3714]= 1/2633226

Therefore, the GCF of 6212/709,3865/3714 is 1/2633226.

Greatest Common Factor of 6212,3865

To find the highest common factor of 6212,3865, we have to find the factors of both numbers and list the highest common factor.

The factors of 6212 are 1, 2, 4, 1553, 3106, 6212

The factors of 3865 are 1, 5, 773, 3865

The HCF of 6212,3865 is 1.

Lets's calculate GCF of 6212,3865

Greatest Common Factor (GCF) of 6212,3865 By Common Division

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

Greatest Common Factor of 6212,3865 By Matching Biggest Common Factor Method

Now, list down the factors of 6212

1,2,4,1553,3106,6212

Now, list down the factors of 3865

1,5,773,3865

Greatest Common Factor

We found the factors 6212,3865 . The biggest common factor number is the GCF number.
So the greatest common factor 6212,3865 is 1.

Lets's calculate LCM of 709,3714

Lowest Common Multiple of 709,3714 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2633226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2633226

Therefore, the GCF of Fractions 6212/709,3865/3714 is 1/2633226

Least Common Multiple of 709,3714 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 709,3714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,3714) = 1

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

GCF(709,3714) x common factors =1 x 1 = 1

LCM(709,3714) = ( 709 × 3714 ) / 1

LCM(709,3714) = 2633226 / 1

LCM(709,3714) = 2633226

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FAQs on GCF of Fractions of 6212/709, 3865/3714

1. What is the HCF of 6212,3865?

The HCF of 6212,3865 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 6212/709, 3865/3714?

Answer: GCF of Numerators as per given numbers 6212/709, 3865/3714 is

GCF of Numerators i.e. for 6212,3865 is 1

LCM of denominators i.e. for 709,3714 is 2633226.

Thus, GCF of Fractions is 1/2633226.Finally, GCF of Fractions for 6212/709, 3865/3714 is 1/2633226.