GCF of 9132/224, 6288/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9132/224, 6288/361 i.e 12/80864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9132/224, 6288/361.
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 9132/224,6288/361?
Given fractions are 9132/224,6288/361
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 9132/224,6288/361, numerators are 9132,6288
Denominators are 224,361
The GCF of 9132,6288 is 12 .
LCM of 224,361 is 80864.
The greatest common factor of 9132/224,6288/361 = [GCF of 9132,6288]/[LCM of 224,361]= 12/80864
Therefore, the GCF of 9132/224,6288/361 is 12/80864.
To find the highest common factor of 9132,6288, we have to find the factors of both numbers and list the highest common factor.
The factors of 9132 are 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132
The factors of 6288 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288
The HCF of 9132,6288 is 12.
Lets's calculate GCF of 9132,6288
| 2 | 9132, 6288 |
| 2 | 4566, 3144 |
| 3 | 2283, 1572 |
| 761, 524 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9132,6288 By Matching Biggest Common Factor Method
Now, list down the factors of 9132
:1,2,3,4,6,12,761,1522,2283,3044,4566,9132
Now, list down the factors of 6288
:1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288
Greatest Common Factor
We found the factors 9132,6288 . The biggest common factor number is the GCF number.
So the greatest common factor 9132,6288 is 12.
Lets's calculate LCM of 224,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 80864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/80864
Therefore, the GCF of Fractions 9132/224,6288/361 is 12/80864
Least Common Multiple of 224,361 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 224,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,361) x common factors =1 x 1 = 1
LCM(224,361) = ( 224 × 361 ) / 1
LCM(224,361) = 80864 / 1
LCM(224,361) = 80864
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9132/224, 6288/361
1. What is the HCF of 9132,6288?
The HCF of 9132,6288 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 9132/224, 6288/361?
Answer: GCF of Numerators as per given numbers 9132/224, 6288/361 is
GCF of Numerators i.e. for 9132,6288 is 12
LCM of denominators i.e. for 224,361 is 80864.
Thus, GCF of Fractions is 12/80864.Finally, GCF of Fractions for 9132/224, 6288/361 is 12/80864.