GCF of 9353/872, 5611/7492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9353/872, 5611/7492 i.e 1/1633256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9353/872, 5611/7492.
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 9353/872,5611/7492?
Given fractions are 9353/872,5611/7492
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 9353/872,5611/7492, numerators are 9353,5611
Denominators are 872,7492
The GCF of 9353,5611 is 1 .
LCM of 872,7492 is 1633256.
The greatest common factor of 9353/872,5611/7492 = [GCF of 9353,5611]/[LCM of 872,7492]= 1/1633256
Therefore, the GCF of 9353/872,5611/7492 is 1/1633256.
To find the highest common factor of 9353,5611, 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 5611 are 1, 31, 181, 5611
The HCF of 9353,5611 is 1.
Lets's calculate GCF of 9353,5611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9353,5611 By Matching Biggest Common Factor Method
Now, list down the factors of 9353
:1,47,199,9353
Now, list down the factors of 5611
:1,31,181,5611
Greatest Common Factor
We found the factors 9353,5611 . The biggest common factor number is the GCF number.
So the greatest common factor 9353,5611 is 1.
Lets's calculate LCM of 872,7492
| 2 | 872, 7492 |
| 2 | 436, 3746 |
| 218, 1873 |
∴ So the LCM of the given numbers is 2 x 2 x 218 x 1873 = 1633256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1633256
Therefore, the GCF of Fractions 9353/872,5611/7492 is 1/1633256
Least Common Multiple of 872,7492 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 872,7492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,7492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(872,7492) x common factors =4 x 1 = 4
LCM(872,7492) = ( 872 × 7492 ) / 4
LCM(872,7492) = 6533024 / 4
LCM(872,7492) = 1633256
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9353/872, 5611/7492
1. What is the HCF of 9353,5611?
The HCF of 9353,5611 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 9353/872, 5611/7492?
Answer: GCF of Numerators as per given numbers 9353/872, 5611/7492 is
GCF of Numerators i.e. for 9353,5611 is 1
LCM of denominators i.e. for 872,7492 is 1633256.
Thus, GCF of Fractions is 1/1633256.Finally, GCF of Fractions for 9353/872, 5611/7492 is 1/1633256.