How to Find GCF of 3197/839, 9626/8004?

GCF of 3197/839, 9626/8004

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 3197/839, 9626/8004 i.e 1/6715356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3197/839, 9626/8004.

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 3197/839,9626/8004?

Given fractions are 3197/839,9626/8004

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 3197/839,9626/8004, numerators are 3197,9626

Denominators are 839,8004

The GCF of 3197,9626 is 1 .

LCM of 839,8004 is 6715356.

The greatest common factor of 3197/839,9626/8004 = [GCF of 3197,9626]/[LCM of 839,8004]= 1/6715356

Therefore, the GCF of 3197/839,9626/8004 is 1/6715356.

Greatest Common Factor of 3197,9626

To find the highest common factor of 3197,9626, we have to find the factors of both numbers and list the highest common factor.

The factors of 3197 are 1, 23, 139, 3197

The factors of 9626 are 1, 2, 4813, 9626

The HCF of 3197,9626 is 1.

Lets's calculate GCF of 3197,9626

Greatest Common Factor (GCF) of 3197,9626 By Common Division

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

Greatest Common Factor of 3197,9626 By Matching Biggest Common Factor Method

Now, list down the factors of 3197

1,23,139,3197

Now, list down the factors of 9626

1,2,4813,9626

Greatest Common Factor

We found the factors 3197,9626 . The biggest common factor number is the GCF number.
So the greatest common factor 3197,9626 is 1.

Lets's calculate LCM of 839,8004

Lowest Common Multiple of 839,8004 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6715356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6715356

Therefore, the GCF of Fractions 3197/839,9626/8004 is 1/6715356

Least Common Multiple of 839,8004 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 839,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,8004) = 1

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

GCF(839,8004) x common factors =1 x 1 = 1

LCM(839,8004) = ( 839 × 8004 ) / 1

LCM(839,8004) = 6715356 / 1

LCM(839,8004) = 6715356

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FAQs on GCF of Fractions of 3197/839, 9626/8004

1. What is the HCF of 3197,9626?

The HCF of 3197,9626 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 3197/839, 9626/8004?

Answer: GCF of Numerators as per given numbers 3197/839, 9626/8004 is

GCF of Numerators i.e. for 3197,9626 is 1

LCM of denominators i.e. for 839,8004 is 6715356.

Thus, GCF of Fractions is 1/6715356.Finally, GCF of Fractions for 3197/839, 9626/8004 is 1/6715356.