GCF of 9353/755, 5326/2412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9353/755, 5326/2412 i.e 1/1821060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9353/755, 5326/2412.
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 9353/755,5326/2412?
Given fractions are 9353/755,5326/2412
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 9353/755,5326/2412, numerators are 9353,5326
Denominators are 755,2412
The GCF of 9353,5326 is 1 .
LCM of 755,2412 is 1821060.
The greatest common factor of 9353/755,5326/2412 = [GCF of 9353,5326]/[LCM of 755,2412]= 1/1821060
Therefore, the GCF of 9353/755,5326/2412 is 1/1821060.
To find the highest common factor of 9353,5326, we have to find the factors of both numbers and list the highest common factor.
The factors of 9353 are 1, 47, 199, 9353
The factors of 5326 are 1, 2, 2663, 5326
The HCF of 9353,5326 is 1.
Lets's calculate GCF of 9353,5326
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9353,5326 By Matching Biggest Common Factor Method
Now, list down the factors of 9353
:1,47,199,9353
Now, list down the factors of 5326
:1,2,2663,5326
Greatest Common Factor
We found the factors 9353,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 9353,5326 is 1.
Lets's calculate LCM of 755,2412
Given numbers has no common factors except 1. So, there LCM is their product i.e 1821060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1821060
Therefore, the GCF of Fractions 9353/755,5326/2412 is 1/1821060
Least Common Multiple of 755,2412 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 755,2412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,2412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,2412) x common factors =1 x 1 = 1
LCM(755,2412) = ( 755 × 2412 ) / 1
LCM(755,2412) = 1821060 / 1
LCM(755,2412) = 1821060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9353/755, 5326/2412
1. What is the HCF of 9353,5326?
The HCF of 9353,5326 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 9353/755, 5326/2412?
Answer: GCF of Numerators as per given numbers 9353/755, 5326/2412 is
GCF of Numerators i.e. for 9353,5326 is 1
LCM of denominators i.e. for 755,2412 is 1821060.
Thus, GCF of Fractions is 1/1821060.Finally, GCF of Fractions for 9353/755, 5326/2412 is 1/1821060.