How to Find GCF of 2187/320, 7103/7217?

GCF of 2187/320, 7103/7217

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 2187/320, 7103/7217 i.e 1/2309440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2187/320, 7103/7217.

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 2187/320,7103/7217?

Given fractions are 2187/320,7103/7217

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 2187/320,7103/7217, numerators are 2187,7103

Denominators are 320,7217

The GCF of 2187,7103 is 1 .

LCM of 320,7217 is 2309440.

The greatest common factor of 2187/320,7103/7217 = [GCF of 2187,7103]/[LCM of 320,7217]= 1/2309440

Therefore, the GCF of 2187/320,7103/7217 is 1/2309440.

Greatest Common Factor of 2187,7103

To find the highest common factor of 2187,7103, we have to find the factors of both numbers and list the highest common factor.

The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187

The factors of 7103 are 1, 7103

The HCF of 2187,7103 is 1.

Lets's calculate GCF of 2187,7103

Greatest Common Factor (GCF) of 2187,7103 By Common Division

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

Greatest Common Factor of 2187,7103 By Matching Biggest Common Factor Method

Now, list down the factors of 2187

1,3,9,27,81,243,729,2187

Now, list down the factors of 7103

1,7103

Greatest Common Factor

We found the factors 2187,7103 . The biggest common factor number is the GCF number.
So the greatest common factor 2187,7103 is 1.

Lets's calculate LCM of 320,7217

Lowest Common Multiple of 320,7217 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2309440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2309440

Therefore, the GCF of Fractions 2187/320,7103/7217 is 1/2309440

Least Common Multiple of 320,7217 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 320,7217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,7217) = 1

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

GCF(320,7217) x common factors =1 x 1 = 1

LCM(320,7217) = ( 320 × 7217 ) / 1

LCM(320,7217) = 2309440 / 1

LCM(320,7217) = 2309440

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FAQs on GCF of Fractions of 2187/320, 7103/7217

1. What is the HCF of 2187,7103?

The HCF of 2187,7103 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 2187/320, 7103/7217?

Answer: GCF of Numerators as per given numbers 2187/320, 7103/7217 is

GCF of Numerators i.e. for 2187,7103 is 1

LCM of denominators i.e. for 320,7217 is 2309440.

Thus, GCF of Fractions is 1/2309440.Finally, GCF of Fractions for 2187/320, 7103/7217 is 1/2309440.