GCF of 64/236, 81/240, 663/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/236, 81/240, 663/377 i.e 1/5338320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/236, 81/240, 663/377.
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 64/236,81/240,663/377?
Given fractions are 64/236,81/240,663/377
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 64/236,81/240,663/377, numerators are 64,81,663
Denominators are 236,240,377
The GCF of 64,81,663 is 1 .
LCM of 236,240,377 is 5338320.
The greatest common factor of 64/236,81/240,663/377 = [GCF of 64,81,663]/[LCM of 236,240,377]= 1/5338320
Therefore, the GCF of 64/236,81/240,663/377 is 1/5338320.
To find the highest common factor of 64,81,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 81 are 1, 3, 9, 27, 81
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 64,81,663 is 1.
Lets's calculate GCF of 64,81,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 64,81,663 By Matching Biggest Common Factor Method
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 64,81,663 . The biggest common factor number is the GCF number.
So the greatest common factor 64,81,663 is 1.
Lets's calculate LCM of 236,240,377
| 2 | 236, 240, 377 |
| 2 | 118, 120, 377 |
| 59, 60, 377 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 60 x 377 = 5338320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5338320
Therefore, the GCF of Fractions 64/236,81/240,663/377 is 1/5338320
Least Common Multiple of 236,240,377 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 236,240,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,240,377) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(236,240,377) x common factors =1 x 4 = 4
LCM(236,240,377) = ( 236 × 240 × 377 ) / 4
LCM(236,240,377) = 21353280 / 4
LCM(236,240,377) = 5338320
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 64/236, 81/240, 663/377
1. What is the HCF of 64,81,663?
The HCF of 64,81,663 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 64/236, 81/240, 663/377?
Answer: GCF of Numerators as per given numbers 64/236, 81/240, 663/377 is
GCF of Numerators i.e. for 64,81,663 is 1
LCM of denominators i.e. for 236,240,377 is 5338320.
Thus, GCF of Fractions is 1/5338320.Finally, GCF of Fractions for 64/236, 81/240, 663/377 is 1/5338320.