GCF of 720/14, 996/8219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/14, 996/8219 i.e 12/115066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/14, 996/8219.
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 720/14,996/8219?
Given fractions are 720/14,996/8219
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 720/14,996/8219, numerators are 720,996
Denominators are 14,8219
The GCF of 720,996 is 12 .
LCM of 14,8219 is 115066.
The greatest common factor of 720/14,996/8219 = [GCF of 720,996]/[LCM of 14,8219]= 12/115066
Therefore, the GCF of 720/14,996/8219 is 12/115066.
To find the highest common factor of 720,996, 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 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The HCF of 720,996 is 12.
Lets's calculate GCF of 720,996
| 2 | 720, 996 |
| 2 | 360, 498 |
| 3 | 180, 249 |
| 60, 83 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 720,996 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 996
:1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 720,996 . The biggest common factor number is the GCF number.
So the greatest common factor 720,996 is 12.
Lets's calculate LCM of 14,8219
Given numbers has no common factors except 1. So, there LCM is their product i.e 115066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/115066
Therefore, the GCF of Fractions 720/14,996/8219 is 12/115066
Least Common Multiple of 14,8219 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 14,8219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,8219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,8219) x common factors =1 x 1 = 1
LCM(14,8219) = ( 14 × 8219 ) / 1
LCM(14,8219) = 115066 / 1
LCM(14,8219) = 115066
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FAQs on GCF of Fractions of 720/14, 996/8219
1. What is the HCF of 720,996?
The HCF of 720,996 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 720/14, 996/8219?
Answer: GCF of Numerators as per given numbers 720/14, 996/8219 is
GCF of Numerators i.e. for 720,996 is 12
LCM of denominators i.e. for 14,8219 is 115066.
Thus, GCF of Fractions is 12/115066.Finally, GCF of Fractions for 720/14, 996/8219 is 12/115066.