GCF of 9068/369, 6421/5816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9068/369, 6421/5816 i.e 1/2146104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9068/369, 6421/5816.
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 9068/369,6421/5816?
Given fractions are 9068/369,6421/5816
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 9068/369,6421/5816, numerators are 9068,6421
Denominators are 369,5816
The GCF of 9068,6421 is 1 .
LCM of 369,5816 is 2146104.
The greatest common factor of 9068/369,6421/5816 = [GCF of 9068,6421]/[LCM of 369,5816]= 1/2146104
Therefore, the GCF of 9068/369,6421/5816 is 1/2146104.
To find the highest common factor of 9068,6421, we have to find the factors of both numbers and list the highest common factor.
The factors of 9068 are 1, 2, 4, 2267, 4534, 9068
The factors of 6421 are 1, 6421
The HCF of 9068,6421 is 1.
Lets's calculate GCF of 9068,6421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9068,6421 By Matching Biggest Common Factor Method
Now, list down the factors of 9068
:1,2,4,2267,4534,9068
Now, list down the factors of 6421
:1,6421
Greatest Common Factor
We found the factors 9068,6421 . The biggest common factor number is the GCF number.
So the greatest common factor 9068,6421 is 1.
Lets's calculate LCM of 369,5816
Given numbers has no common factors except 1. So, there LCM is their product i.e 2146104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2146104
Therefore, the GCF of Fractions 9068/369,6421/5816 is 1/2146104
Least Common Multiple of 369,5816 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 369,5816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,5816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,5816) x common factors =1 x 1 = 1
LCM(369,5816) = ( 369 × 5816 ) / 1
LCM(369,5816) = 2146104 / 1
LCM(369,5816) = 2146104
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FAQs on GCF of Fractions of 9068/369, 6421/5816
1. What is the HCF of 9068,6421?
The HCF of 9068,6421 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 9068/369, 6421/5816?
Answer: GCF of Numerators as per given numbers 9068/369, 6421/5816 is
GCF of Numerators i.e. for 9068,6421 is 1
LCM of denominators i.e. for 369,5816 is 2146104.
Thus, GCF of Fractions is 1/2146104.Finally, GCF of Fractions for 9068/369, 6421/5816 is 1/2146104.