GCF of 9509/746, 5554/4617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9509/746, 5554/4617 i.e 1/3444282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9509/746, 5554/4617.
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 9509/746,5554/4617?
Given fractions are 9509/746,5554/4617
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 9509/746,5554/4617, numerators are 9509,5554
Denominators are 746,4617
The GCF of 9509,5554 is 1 .
LCM of 746,4617 is 3444282.
The greatest common factor of 9509/746,5554/4617 = [GCF of 9509,5554]/[LCM of 746,4617]= 1/3444282
Therefore, the GCF of 9509/746,5554/4617 is 1/3444282.
To find the highest common factor of 9509,5554, we have to find the factors of both numbers and list the highest common factor.
The factors of 9509 are 1, 37, 257, 9509
The factors of 5554 are 1, 2, 2777, 5554
The HCF of 9509,5554 is 1.
Lets's calculate GCF of 9509,5554
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9509,5554 By Matching Biggest Common Factor Method
Now, list down the factors of 9509
:1,37,257,9509
Now, list down the factors of 5554
:1,2,2777,5554
Greatest Common Factor
We found the factors 9509,5554 . The biggest common factor number is the GCF number.
So the greatest common factor 9509,5554 is 1.
Lets's calculate LCM of 746,4617
Given numbers has no common factors except 1. So, there LCM is their product i.e 3444282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3444282
Therefore, the GCF of Fractions 9509/746,5554/4617 is 1/3444282
Least Common Multiple of 746,4617 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 746,4617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,4617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,4617) x common factors =1 x 1 = 1
LCM(746,4617) = ( 746 × 4617 ) / 1
LCM(746,4617) = 3444282 / 1
LCM(746,4617) = 3444282
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9509/746, 5554/4617
1. What is the HCF of 9509,5554?
The HCF of 9509,5554 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 9509/746, 5554/4617?
Answer: GCF of Numerators as per given numbers 9509/746, 5554/4617 is
GCF of Numerators i.e. for 9509,5554 is 1
LCM of denominators i.e. for 746,4617 is 3444282.
Thus, GCF of Fractions is 1/3444282.Finally, GCF of Fractions for 9509/746, 5554/4617 is 1/3444282.