GCF of 216/156, 666/616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 216/156, 666/616 i.e 18/24024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/156, 666/616.
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 216/156,666/616?
Given fractions are 216/156,666/616
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 216/156,666/616, numerators are 216,666
Denominators are 156,616
The GCF of 216,666 is 18 .
LCM of 156,616 is 24024.
The greatest common factor of 216/156,666/616 = [GCF of 216,666]/[LCM of 156,616]= 18/24024
Therefore, the GCF of 216/156,666/616 is 18/24024.
To find the highest common factor of 216,666, 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 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The HCF of 216,666 is 18.
Lets's calculate GCF of 216,666
| 2 | 216, 666 |
| 3 | 108, 333 |
| 3 | 36, 111 |
| 12, 37 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 216,666 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 666
:1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 216,666 . The biggest common factor number is the GCF number.
So the greatest common factor 216,666 is 18.
Lets's calculate LCM of 156,616
| 2 | 156, 616 |
| 2 | 78, 308 |
| 39, 154 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 154 = 24024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/24024
Therefore, the GCF of Fractions 216/156,666/616 is 18/24024
Least Common Multiple of 156,616 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 156,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,616) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(156,616) x common factors =4 x 1 = 4
LCM(156,616) = ( 156 × 616 ) / 4
LCM(156,616) = 96096 / 4
LCM(156,616) = 24024
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FAQs on GCF of Fractions of 216/156, 666/616
1. What is the HCF of 216,666?
The HCF of 216,666 is 18
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 216/156, 666/616?
Answer: GCF of Numerators as per given numbers 216/156, 666/616 is
GCF of Numerators i.e. for 216,666 is 18
LCM of denominators i.e. for 156,616 is 24024.
Thus, GCF of Fractions is 18/24024.Finally, GCF of Fractions for 216/156, 666/616 is 18/24024.