GCF of 9263/443, 1963/1342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9263/443, 1963/1342 i.e 1/594506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9263/443, 1963/1342.
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 9263/443,1963/1342?
Given fractions are 9263/443,1963/1342
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 9263/443,1963/1342, numerators are 9263,1963
Denominators are 443,1342
The GCF of 9263,1963 is 1 .
LCM of 443,1342 is 594506.
The greatest common factor of 9263/443,1963/1342 = [GCF of 9263,1963]/[LCM of 443,1342]= 1/594506
Therefore, the GCF of 9263/443,1963/1342 is 1/594506.
To find the highest common factor of 9263,1963, we have to find the factors of both numbers and list the highest common factor.
The factors of 9263 are 1, 59, 157, 9263
The factors of 1963 are 1, 13, 151, 1963
The HCF of 9263,1963 is 1.
Lets's calculate GCF of 9263,1963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9263,1963 By Matching Biggest Common Factor Method
Now, list down the factors of 9263
:1,59,157,9263
Now, list down the factors of 1963
:1,13,151,1963
Greatest Common Factor
We found the factors 9263,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 9263,1963 is 1.
Lets's calculate LCM of 443,1342
Given numbers has no common factors except 1. So, there LCM is their product i.e 594506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594506
Therefore, the GCF of Fractions 9263/443,1963/1342 is 1/594506
Least Common Multiple of 443,1342 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 443,1342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,1342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,1342) x common factors =1 x 1 = 1
LCM(443,1342) = ( 443 × 1342 ) / 1
LCM(443,1342) = 594506 / 1
LCM(443,1342) = 594506
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FAQs on GCF of Fractions of 9263/443, 1963/1342
1. What is the HCF of 9263,1963?
The HCF of 9263,1963 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 9263/443, 1963/1342?
Answer: GCF of Numerators as per given numbers 9263/443, 1963/1342 is
GCF of Numerators i.e. for 9263,1963 is 1
LCM of denominators i.e. for 443,1342 is 594506.
Thus, GCF of Fractions is 1/594506.Finally, GCF of Fractions for 9263/443, 1963/1342 is 1/594506.