GCF of 720/786, 2988/495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/786, 2988/495 i.e 36/129690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/786, 2988/495.
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 720/786,2988/495?
Given fractions are 720/786,2988/495
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 720/786,2988/495, numerators are 720,2988
Denominators are 786,495
The GCF of 720,2988 is 36 .
LCM of 786,495 is 129690.
The greatest common factor of 720/786,2988/495 = [GCF of 720,2988]/[LCM of 786,495]= 36/129690
Therefore, the GCF of 720/786,2988/495 is 36/129690.
To find the highest common factor of 720,2988, 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 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988
The HCF of 720,2988 is 36.
Lets's calculate GCF of 720,2988
| 2 | 720, 2988 |
| 2 | 360, 1494 |
| 3 | 180, 747 |
| 3 | 60, 249 |
| 20, 83 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 720,2988 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 2988
:1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988
Greatest Common Factor
We found the factors 720,2988 . The biggest common factor number is the GCF number.
So the greatest common factor 720,2988 is 36.
Lets's calculate LCM of 786,495
| 3 | 786, 495 |
| 262, 165 |
∴ So the LCM of the given numbers is 3 x 262 x 165 = 129690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/129690
Therefore, the GCF of Fractions 720/786,2988/495 is 36/129690
Least Common Multiple of 786,495 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 786,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,495) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(786,495) x common factors =3 x 1 = 3
LCM(786,495) = ( 786 × 495 ) / 3
LCM(786,495) = 389070 / 3
LCM(786,495) = 129690
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 720/786, 2988/495
1. What is the HCF of 720,2988?
The HCF of 720,2988 is 36
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 720/786, 2988/495?
Answer: GCF of Numerators as per given numbers 720/786, 2988/495 is
GCF of Numerators i.e. for 720,2988 is 36
LCM of denominators i.e. for 786,495 is 129690.
Thus, GCF of Fractions is 36/129690.Finally, GCF of Fractions for 720/786, 2988/495 is 36/129690.