GCF of 216/239, 2028/429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 216/239, 2028/429 i.e 12/102531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/239, 2028/429.
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 216/239,2028/429?
Given fractions are 216/239,2028/429
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 216/239,2028/429, numerators are 216,2028
Denominators are 239,429
The GCF of 216,2028 is 12 .
LCM of 239,429 is 102531.
The greatest common factor of 216/239,2028/429 = [GCF of 216,2028]/[LCM of 239,429]= 12/102531
Therefore, the GCF of 216/239,2028/429 is 12/102531.
To find the highest common factor of 216,2028, 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 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028
The HCF of 216,2028 is 12.
Lets's calculate GCF of 216,2028
| 2 | 216, 2028 |
| 2 | 108, 1014 |
| 3 | 54, 507 |
| 18, 169 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 216,2028 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 2028
:1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028
Greatest Common Factor
We found the factors 216,2028 . The biggest common factor number is the GCF number.
So the greatest common factor 216,2028 is 12.
Lets's calculate LCM of 239,429
Given numbers has no common factors except 1. So, there LCM is their product i.e 102531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/102531
Therefore, the GCF of Fractions 216/239,2028/429 is 12/102531
Least Common Multiple of 239,429 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 239,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,429) x common factors =1 x 1 = 1
LCM(239,429) = ( 239 × 429 ) / 1
LCM(239,429) = 102531 / 1
LCM(239,429) = 102531
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 216/239, 2028/429
1. What is the HCF of 216,2028?
The HCF of 216,2028 is 12
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 216/239, 2028/429?
Answer: GCF of Numerators as per given numbers 216/239, 2028/429 is
GCF of Numerators i.e. for 216,2028 is 12
LCM of denominators i.e. for 239,429 is 102531.
Thus, GCF of Fractions is 12/102531.Finally, GCF of Fractions for 216/239, 2028/429 is 12/102531.