GCF of 216/237, 6741/380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 216/237, 6741/380 i.e 9/90060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/237, 6741/380.
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 216/237,6741/380?
Given fractions are 216/237,6741/380
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 216/237,6741/380, numerators are 216,6741
Denominators are 237,380
The GCF of 216,6741 is 9 .
LCM of 237,380 is 90060.
The greatest common factor of 216/237,6741/380 = [GCF of 216,6741]/[LCM of 237,380]= 9/90060
Therefore, the GCF of 216/237,6741/380 is 9/90060.
To find the highest common factor of 216,6741, we have to find the factors of both numbers and list the highest common factor.
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The factors of 6741 are 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741
The HCF of 216,6741 is 9.
Lets's calculate GCF of 216,6741
| 3 | 216, 6741 |
| 3 | 72, 2247 |
| 24, 749 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 216,6741 By Matching Biggest Common Factor Method
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Now, list down the factors of 6741
:1,3,7,9,21,63,107,321,749,963,2247,6741
Greatest Common Factor
We found the factors 216,6741 . The biggest common factor number is the GCF number.
So the greatest common factor 216,6741 is 9.
Lets's calculate LCM of 237,380
Given numbers has no common factors except 1. So, there LCM is their product i.e 90060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/90060
Therefore, the GCF of Fractions 216/237,6741/380 is 9/90060
Least Common Multiple of 237,380 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 237,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,380) x common factors =1 x 1 = 1
LCM(237,380) = ( 237 × 380 ) / 1
LCM(237,380) = 90060 / 1
LCM(237,380) = 90060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 216/237, 6741/380
1. What is the HCF of 216,6741?
The HCF of 216,6741 is 9
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 216/237, 6741/380?
Answer: GCF of Numerators as per given numbers 216/237, 6741/380 is
GCF of Numerators i.e. for 216,6741 is 9
LCM of denominators i.e. for 237,380 is 90060.
Thus, GCF of Fractions is 9/90060.Finally, GCF of Fractions for 216/237, 6741/380 is 9/90060.