GCF of 9313/513, 7827/6271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9313/513, 7827/6271 i.e 1/3217023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9313/513, 7827/6271.
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 9313/513,7827/6271?
Given fractions are 9313/513,7827/6271
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 9313/513,7827/6271, numerators are 9313,7827
Denominators are 513,6271
The GCF of 9313,7827 is 1 .
LCM of 513,6271 is 3217023.
The greatest common factor of 9313/513,7827/6271 = [GCF of 9313,7827]/[LCM of 513,6271]= 1/3217023
Therefore, the GCF of 9313/513,7827/6271 is 1/3217023.
To find the highest common factor of 9313,7827, we have to find the factors of both numbers and list the highest common factor.
The factors of 9313 are 1, 67, 139, 9313
The factors of 7827 are 1, 3, 2609, 7827
The HCF of 9313,7827 is 1.
Lets's calculate GCF of 9313,7827
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9313,7827 By Matching Biggest Common Factor Method
Now, list down the factors of 9313
:1,67,139,9313
Now, list down the factors of 7827
:1,3,2609,7827
Greatest Common Factor
We found the factors 9313,7827 . The biggest common factor number is the GCF number.
So the greatest common factor 9313,7827 is 1.
Lets's calculate LCM of 513,6271
Given numbers has no common factors except 1. So, there LCM is their product i.e 3217023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3217023
Therefore, the GCF of Fractions 9313/513,7827/6271 is 1/3217023
Least Common Multiple of 513,6271 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 513,6271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,6271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,6271) x common factors =1 x 1 = 1
LCM(513,6271) = ( 513 × 6271 ) / 1
LCM(513,6271) = 3217023 / 1
LCM(513,6271) = 3217023
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9313/513, 7827/6271
1. What is the HCF of 9313,7827?
The HCF of 9313,7827 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 9313/513, 7827/6271?
Answer: GCF of Numerators as per given numbers 9313/513, 7827/6271 is
GCF of Numerators i.e. for 9313,7827 is 1
LCM of denominators i.e. for 513,6271 is 3217023.
Thus, GCF of Fractions is 1/3217023.Finally, GCF of Fractions for 9313/513, 7827/6271 is 1/3217023.