GCF of 9381/600, 2659/3074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9381/600, 2659/3074 i.e 1/922200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9381/600, 2659/3074.
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 9381/600,2659/3074?
Given fractions are 9381/600,2659/3074
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 9381/600,2659/3074, numerators are 9381,2659
Denominators are 600,3074
The GCF of 9381,2659 is 1 .
LCM of 600,3074 is 922200.
The greatest common factor of 9381/600,2659/3074 = [GCF of 9381,2659]/[LCM of 600,3074]= 1/922200
Therefore, the GCF of 9381/600,2659/3074 is 1/922200.
To find the highest common factor of 9381,2659, we have to find the factors of both numbers and list the highest common factor.
The factors of 9381 are 1, 3, 53, 59, 159, 177, 3127, 9381
The factors of 2659 are 1, 2659
The HCF of 9381,2659 is 1.
Lets's calculate GCF of 9381,2659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9381,2659 By Matching Biggest Common Factor Method
Now, list down the factors of 9381
:1,3,53,59,159,177,3127,9381
Now, list down the factors of 2659
:1,2659
Greatest Common Factor
We found the factors 9381,2659 . The biggest common factor number is the GCF number.
So the greatest common factor 9381,2659 is 1.
Lets's calculate LCM of 600,3074
| 2 | 600, 3074 |
| 300, 1537 |
∴ So the LCM of the given numbers is 2 x 300 x 1537 = 922200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/922200
Therefore, the GCF of Fractions 9381/600,2659/3074 is 1/922200
Least Common Multiple of 600,3074 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 600,3074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,3074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(600,3074) x common factors =2 x 1 = 2
LCM(600,3074) = ( 600 × 3074 ) / 2
LCM(600,3074) = 1844400 / 2
LCM(600,3074) = 922200
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FAQs on GCF of Fractions of 9381/600, 2659/3074
1. What is the HCF of 9381,2659?
The HCF of 9381,2659 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 9381/600, 2659/3074?
Answer: GCF of Numerators as per given numbers 9381/600, 2659/3074 is
GCF of Numerators i.e. for 9381,2659 is 1
LCM of denominators i.e. for 600,3074 is 922200.
Thus, GCF of Fractions is 1/922200.Finally, GCF of Fractions for 9381/600, 2659/3074 is 1/922200.