GCF of 9033/582, 6430/9690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9033/582, 6430/9690 i.e 1/939930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9033/582, 6430/9690.
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 9033/582,6430/9690?
Given fractions are 9033/582,6430/9690
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 9033/582,6430/9690, numerators are 9033,6430
Denominators are 582,9690
The GCF of 9033,6430 is 1 .
LCM of 582,9690 is 939930.
The greatest common factor of 9033/582,6430/9690 = [GCF of 9033,6430]/[LCM of 582,9690]= 1/939930
Therefore, the GCF of 9033/582,6430/9690 is 1/939930.
To find the highest common factor of 9033,6430, we have to find the factors of both numbers and list the highest common factor.
The factors of 9033 are 1, 3, 3011, 9033
The factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430
The HCF of 9033,6430 is 1.
Lets's calculate GCF of 9033,6430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9033,6430 By Matching Biggest Common Factor Method
Now, list down the factors of 9033
:1,3,3011,9033
Now, list down the factors of 6430
:1,2,5,10,643,1286,3215,6430
Greatest Common Factor
We found the factors 9033,6430 . The biggest common factor number is the GCF number.
So the greatest common factor 9033,6430 is 1.
Lets's calculate LCM of 582,9690
| 2 | 582, 9690 |
| 3 | 291, 4845 |
| 97, 1615 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 1615 = 939930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/939930
Therefore, the GCF of Fractions 9033/582,6430/9690 is 1/939930
Least Common Multiple of 582,9690 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 582,9690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,9690) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,9690) x common factors =6 x 1 = 6
LCM(582,9690) = ( 582 × 9690 ) / 6
LCM(582,9690) = 5639580 / 6
LCM(582,9690) = 939930
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FAQs on GCF of Fractions of 9033/582, 6430/9690
1. What is the HCF of 9033,6430?
The HCF of 9033,6430 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 9033/582, 6430/9690?
Answer: GCF of Numerators as per given numbers 9033/582, 6430/9690 is
GCF of Numerators i.e. for 9033,6430 is 1
LCM of denominators i.e. for 582,9690 is 939930.
Thus, GCF of Fractions is 1/939930.Finally, GCF of Fractions for 9033/582, 6430/9690 is 1/939930.