GCF of 9267/362, 8467/963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9267/362, 8467/963 i.e 1/348606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9267/362, 8467/963.
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 9267/362,8467/963?
Given fractions are 9267/362,8467/963
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 9267/362,8467/963, numerators are 9267,8467
Denominators are 362,963
The GCF of 9267,8467 is 1 .
LCM of 362,963 is 348606.
The greatest common factor of 9267/362,8467/963 = [GCF of 9267,8467]/[LCM of 362,963]= 1/348606
Therefore, the GCF of 9267/362,8467/963 is 1/348606.
To find the highest common factor of 9267,8467, we have to find the factors of both numbers and list the highest common factor.
The factors of 9267 are 1, 3, 3089, 9267
The factors of 8467 are 1, 8467
The HCF of 9267,8467 is 1.
Lets's calculate GCF of 9267,8467
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9267,8467 By Matching Biggest Common Factor Method
Now, list down the factors of 9267
:1,3,3089,9267
Now, list down the factors of 8467
:1,8467
Greatest Common Factor
We found the factors 9267,8467 . The biggest common factor number is the GCF number.
So the greatest common factor 9267,8467 is 1.
Lets's calculate LCM of 362,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 348606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348606
Therefore, the GCF of Fractions 9267/362,8467/963 is 1/348606
Least Common Multiple of 362,963 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 362,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,963) x common factors =1 x 1 = 1
LCM(362,963) = ( 362 × 963 ) / 1
LCM(362,963) = 348606 / 1
LCM(362,963) = 348606
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9267/362, 8467/963
1. What is the HCF of 9267,8467?
The HCF of 9267,8467 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 9267/362, 8467/963?
Answer: GCF of Numerators as per given numbers 9267/362, 8467/963 is
GCF of Numerators i.e. for 9267,8467 is 1
LCM of denominators i.e. for 362,963 is 348606.
Thus, GCF of Fractions is 1/348606.Finally, GCF of Fractions for 9267/362, 8467/963 is 1/348606.