GCF of 7593/441, 9880/4432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7593/441, 9880/4432 i.e 1/1954512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7593/441, 9880/4432.
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 7593/441,9880/4432?
Given fractions are 7593/441,9880/4432
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 7593/441,9880/4432, numerators are 7593,9880
Denominators are 441,4432
The GCF of 7593,9880 is 1 .
LCM of 441,4432 is 1954512.
The greatest common factor of 7593/441,9880/4432 = [GCF of 7593,9880]/[LCM of 441,4432]= 1/1954512
Therefore, the GCF of 7593/441,9880/4432 is 1/1954512.
To find the highest common factor of 7593,9880, we have to find the factors of both numbers and list the highest common factor.
The factors of 7593 are 1, 3, 2531, 7593
The factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The HCF of 7593,9880 is 1.
Lets's calculate GCF of 7593,9880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7593,9880 By Matching Biggest Common Factor Method
Now, list down the factors of 7593
:1,3,2531,7593
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Greatest Common Factor
We found the factors 7593,9880 . The biggest common factor number is the GCF number.
So the greatest common factor 7593,9880 is 1.
Lets's calculate LCM of 441,4432
Given numbers has no common factors except 1. So, there LCM is their product i.e 1954512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1954512
Therefore, the GCF of Fractions 7593/441,9880/4432 is 1/1954512
Least Common Multiple of 441,4432 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 441,4432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,4432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,4432) x common factors =1 x 1 = 1
LCM(441,4432) = ( 441 × 4432 ) / 1
LCM(441,4432) = 1954512 / 1
LCM(441,4432) = 1954512
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FAQs on GCF of Fractions of 7593/441, 9880/4432
1. What is the HCF of 7593,9880?
The HCF of 7593,9880 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 7593/441, 9880/4432?
Answer: GCF of Numerators as per given numbers 7593/441, 9880/4432 is
GCF of Numerators i.e. for 7593,9880 is 1
LCM of denominators i.e. for 441,4432 is 1954512.
Thus, GCF of Fractions is 1/1954512.Finally, GCF of Fractions for 7593/441, 9880/4432 is 1/1954512.