GCF of 9312/240, 1402/1408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9312/240, 1402/1408 i.e 2/21120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9312/240, 1402/1408.
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 9312/240,1402/1408?
Given fractions are 9312/240,1402/1408
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 9312/240,1402/1408, numerators are 9312,1402
Denominators are 240,1408
The GCF of 9312,1402 is 2 .
LCM of 240,1408 is 21120.
The greatest common factor of 9312/240,1402/1408 = [GCF of 9312,1402]/[LCM of 240,1408]= 2/21120
Therefore, the GCF of 9312/240,1402/1408 is 2/21120.
To find the highest common factor of 9312,1402, we have to find the factors of both numbers and list the highest common factor.
The factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312
The factors of 1402 are 1, 2, 701, 1402
The HCF of 9312,1402 is 2.
Lets's calculate GCF of 9312,1402
| 2 | 9312, 1402 |
| 4656, 701 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9312,1402 By Matching Biggest Common Factor Method
Now, list down the factors of 9312
:1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312
Now, list down the factors of 1402
:1,2,701,1402
Greatest Common Factor
We found the factors 9312,1402 . The biggest common factor number is the GCF number.
So the greatest common factor 9312,1402 is 2.
Lets's calculate LCM of 240,1408
| 2 | 240, 1408 |
| 2 | 120, 704 |
| 2 | 60, 352 |
| 2 | 30, 176 |
| 15, 88 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 15 x 88 = 21120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21120
Therefore, the GCF of Fractions 9312/240,1402/1408 is 2/21120
Least Common Multiple of 240,1408 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 240,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,1408) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(240,1408) x common factors =16 x 1 = 16
LCM(240,1408) = ( 240 × 1408 ) / 16
LCM(240,1408) = 337920 / 16
LCM(240,1408) = 21120
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9312/240, 1402/1408
1. What is the HCF of 9312,1402?
The HCF of 9312,1402 is 2
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 9312/240, 1402/1408?
Answer: GCF of Numerators as per given numbers 9312/240, 1402/1408 is
GCF of Numerators i.e. for 9312,1402 is 2
LCM of denominators i.e. for 240,1408 is 21120.
Thus, GCF of Fractions is 2/21120.Finally, GCF of Fractions for 9312/240, 1402/1408 is 2/21120.