How to Find GCF of 7642/213, 9397/6839?

GCF of 7642/213, 9397/6839

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 7642/213, 9397/6839 i.e 1/1456707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7642/213, 9397/6839.

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 7642/213,9397/6839?

Given fractions are 7642/213,9397/6839

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 7642/213,9397/6839, numerators are 7642,9397

Denominators are 213,6839

The GCF of 7642,9397 is 1 .

LCM of 213,6839 is 1456707.

The greatest common factor of 7642/213,9397/6839 = [GCF of 7642,9397]/[LCM of 213,6839]= 1/1456707

Therefore, the GCF of 7642/213,9397/6839 is 1/1456707.

Greatest Common Factor of 7642,9397

To find the highest common factor of 7642,9397, we have to find the factors of both numbers and list the highest common factor.

The factors of 7642 are 1, 2, 3821, 7642

The factors of 9397 are 1, 9397

The HCF of 7642,9397 is 1.

Lets's calculate GCF of 7642,9397

Greatest Common Factor (GCF) of 7642,9397 By Common Division

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

Greatest Common Factor of 7642,9397 By Matching Biggest Common Factor Method

Now, list down the factors of 7642

1,2,3821,7642

Now, list down the factors of 9397

1,9397

Greatest Common Factor

We found the factors 7642,9397 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,9397 is 1.

Lets's calculate LCM of 213,6839

Lowest Common Multiple of 213,6839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1456707

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1456707

Therefore, the GCF of Fractions 7642/213,9397/6839 is 1/1456707

Least Common Multiple of 213,6839 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 213,6839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,6839) = 1

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

GCF(213,6839) x common factors =1 x 1 = 1

LCM(213,6839) = ( 213 × 6839 ) / 1

LCM(213,6839) = 1456707 / 1

LCM(213,6839) = 1456707

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FAQs on GCF of Fractions of 7642/213, 9397/6839

1. What is the HCF of 7642,9397?

The HCF of 7642,9397 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 7642/213, 9397/6839?

Answer: GCF of Numerators as per given numbers 7642/213, 9397/6839 is

GCF of Numerators i.e. for 7642,9397 is 1

LCM of denominators i.e. for 213,6839 is 1456707.

Thus, GCF of Fractions is 1/1456707.Finally, GCF of Fractions for 7642/213, 9397/6839 is 1/1456707.