GCF of 367/24, 990/9675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 367/24, 990/9675 i.e 1/77400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 367/24, 990/9675.
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 367/24,990/9675?
Given fractions are 367/24,990/9675
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 367/24,990/9675, numerators are 367,990
Denominators are 24,9675
The GCF of 367,990 is 1 .
LCM of 24,9675 is 77400.
The greatest common factor of 367/24,990/9675 = [GCF of 367,990]/[LCM of 24,9675]= 1/77400
Therefore, the GCF of 367/24,990/9675 is 1/77400.
To find the highest common factor of 367,990, we have to find the factors of both numbers and list the highest common factor.
The factors of 367 are 1, 367
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The HCF of 367,990 is 1.
Lets's calculate GCF of 367,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 367,990 By Matching Biggest Common Factor Method
Now, list down the factors of 367
:1,367
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 367,990 . The biggest common factor number is the GCF number.
So the greatest common factor 367,990 is 1.
Lets's calculate LCM of 24,9675
| 3 | 24, 9675 |
| 8, 3225 |
∴ So the LCM of the given numbers is 3 x 8 x 3225 = 77400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77400
Therefore, the GCF of Fractions 367/24,990/9675 is 1/77400
Least Common Multiple of 24,9675 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 24,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,9675) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(24,9675) x common factors =3 x 1 = 3
LCM(24,9675) = ( 24 × 9675 ) / 3
LCM(24,9675) = 232200 / 3
LCM(24,9675) = 77400
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FAQs on GCF of Fractions of 367/24, 990/9675
1. What is the HCF of 367,990?
The HCF of 367,990 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 367/24, 990/9675?
Answer: GCF of Numerators as per given numbers 367/24, 990/9675 is
GCF of Numerators i.e. for 367,990 is 1
LCM of denominators i.e. for 24,9675 is 77400.
Thus, GCF of Fractions is 1/77400.Finally, GCF of Fractions for 367/24, 990/9675 is 1/77400.