GCF of 9372/615, 5999/6468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9372/615, 5999/6468 i.e 1/1325940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9372/615, 5999/6468.
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 9372/615,5999/6468?
Given fractions are 9372/615,5999/6468
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 9372/615,5999/6468, numerators are 9372,5999
Denominators are 615,6468
The GCF of 9372,5999 is 1 .
LCM of 615,6468 is 1325940.
The greatest common factor of 9372/615,5999/6468 = [GCF of 9372,5999]/[LCM of 615,6468]= 1/1325940
Therefore, the GCF of 9372/615,5999/6468 is 1/1325940.
To find the highest common factor of 9372,5999, we have to find the factors of both numbers and list the highest common factor.
The factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
The factors of 5999 are 1, 7, 857, 5999
The HCF of 9372,5999 is 1.
Lets's calculate GCF of 9372,5999
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9372,5999 By Matching Biggest Common Factor Method
Now, list down the factors of 9372
:1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Now, list down the factors of 5999
:1,7,857,5999
Greatest Common Factor
We found the factors 9372,5999 . The biggest common factor number is the GCF number.
So the greatest common factor 9372,5999 is 1.
Lets's calculate LCM of 615,6468
| 3 | 615, 6468 |
| 205, 2156 |
∴ So the LCM of the given numbers is 3 x 205 x 2156 = 1325940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1325940
Therefore, the GCF of Fractions 9372/615,5999/6468 is 1/1325940
Least Common Multiple of 615,6468 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 615,6468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,6468) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,6468) x common factors =3 x 1 = 3
LCM(615,6468) = ( 615 × 6468 ) / 3
LCM(615,6468) = 3977820 / 3
LCM(615,6468) = 1325940
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FAQs on GCF of Fractions of 9372/615, 5999/6468
1. What is the HCF of 9372,5999?
The HCF of 9372,5999 is 1
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 9372/615, 5999/6468?
Answer: GCF of Numerators as per given numbers 9372/615, 5999/6468 is
GCF of Numerators i.e. for 9372,5999 is 1
LCM of denominators i.e. for 615,6468 is 1325940.
Thus, GCF of Fractions is 1/1325940.Finally, GCF of Fractions for 9372/615, 5999/6468 is 1/1325940.