GCF of 720/240, 9056/780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/240, 9056/780 i.e 16/3120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/240, 9056/780.
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 720/240,9056/780?
Given fractions are 720/240,9056/780
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 720/240,9056/780, numerators are 720,9056
Denominators are 240,780
The GCF of 720,9056 is 16 .
LCM of 240,780 is 3120.
The greatest common factor of 720/240,9056/780 = [GCF of 720,9056]/[LCM of 240,780]= 16/3120
Therefore, the GCF of 720/240,9056/780 is 16/3120.
To find the highest common factor of 720,9056, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 9056 are 1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056
The HCF of 720,9056 is 16.
Lets's calculate GCF of 720,9056
| 2 | 720, 9056 |
| 2 | 360, 4528 |
| 2 | 180, 2264 |
| 2 | 90, 1132 |
| 45, 566 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 720,9056 By Matching Biggest Common Factor Method
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 9056
:1,2,4,8,16,32,283,566,1132,2264,4528,9056
Greatest Common Factor
We found the factors 720,9056 . The biggest common factor number is the GCF number.
So the greatest common factor 720,9056 is 16.
Lets's calculate LCM of 240,780
| 2 | 240, 780 |
| 2 | 120, 390 |
| 3 | 60, 195 |
| 5 | 20, 65 |
| 4, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 4 x 13 = 3120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3120
Therefore, the GCF of Fractions 720/240,9056/780 is 16/3120
Least Common Multiple of 240,780 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 240,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,780) = 60
common factors(in case of two or more numbers have common factors) = 1
GCF(240,780) x common factors =60 x 1 = 60
LCM(240,780) = ( 240 × 780 ) / 60
LCM(240,780) = 187200 / 60
LCM(240,780) = 3120
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FAQs on GCF of Fractions of 720/240, 9056/780
1. What is the HCF of 720,9056?
The HCF of 720,9056 is 16
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 720/240, 9056/780?
Answer: GCF of Numerators as per given numbers 720/240, 9056/780 is
GCF of Numerators i.e. for 720,9056 is 16
LCM of denominators i.e. for 240,780 is 3120.
Thus, GCF of Fractions is 16/3120.Finally, GCF of Fractions for 720/240, 9056/780 is 16/3120.