GCF of 1235/80, 2236/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1235/80, 2236/360 i.e 13/720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1235/80, 2236/360.
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 1235/80,2236/360?
Given fractions are 1235/80,2236/360
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 1235/80,2236/360, numerators are 1235,2236
Denominators are 80,360
The GCF of 1235,2236 is 13 .
LCM of 80,360 is 720.
The greatest common factor of 1235/80,2236/360 = [GCF of 1235,2236]/[LCM of 80,360]= 13/720
Therefore, the GCF of 1235/80,2236/360 is 13/720.
To find the highest common factor of 1235,2236, we have to find the factors of both numbers and list the highest common factor.
The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235
The factors of 2236 are 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118, 2236
The HCF of 1235,2236 is 13.
Lets's calculate GCF of 1235,2236
| 13 | 1235, 2236 |
| 95, 172 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1235,2236 By Matching Biggest Common Factor Method
Now, list down the factors of 1235
:1,5,13,19,65,95,247,1235
Now, list down the factors of 2236
:1,2,4,13,26,43,52,86,172,559,1118,2236
Greatest Common Factor
We found the factors 1235,2236 . The biggest common factor number is the GCF number.
So the greatest common factor 1235,2236 is 13.
Lets's calculate LCM of 80,360
| 2 | 80, 360 |
| 2 | 40, 180 |
| 2 | 20, 90 |
| 5 | 10, 45 |
| 2, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 9 = 720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/720
Therefore, the GCF of Fractions 1235/80,2236/360 is 13/720
Least Common Multiple of 80,360 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 80,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,360) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(80,360) x common factors =40 x 1 = 40
LCM(80,360) = ( 80 × 360 ) / 40
LCM(80,360) = 28800 / 40
LCM(80,360) = 720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1235/80, 2236/360
1. What is the HCF of 1235,2236?
The HCF of 1235,2236 is 13
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 1235/80, 2236/360?
Answer: GCF of Numerators as per given numbers 1235/80, 2236/360 is
GCF of Numerators i.e. for 1235,2236 is 13
LCM of denominators i.e. for 80,360 is 720.
Thus, GCF of Fractions is 13/720.Finally, GCF of Fractions for 1235/80, 2236/360 is 13/720.