GCF of 9052/420, 5700/9573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9052/420, 5700/9573 i.e 4/1340220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9052/420, 5700/9573.
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 9052/420,5700/9573?
Given fractions are 9052/420,5700/9573
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 9052/420,5700/9573, numerators are 9052,5700
Denominators are 420,9573
The GCF of 9052,5700 is 4 .
LCM of 420,9573 is 1340220.
The greatest common factor of 9052/420,5700/9573 = [GCF of 9052,5700]/[LCM of 420,9573]= 4/1340220
Therefore, the GCF of 9052/420,5700/9573 is 4/1340220.
To find the highest common factor of 9052,5700, we have to find the factors of both numbers and list the highest common factor.
The factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052
The factors of 5700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700
The HCF of 9052,5700 is 4.
Lets's calculate GCF of 9052,5700
| 2 | 9052, 5700 |
| 2 | 4526, 2850 |
| 2263, 1425 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9052,5700 By Matching Biggest Common Factor Method
Now, list down the factors of 9052
:1,2,4,31,62,73,124,146,292,2263,4526,9052
Now, list down the factors of 5700
:1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700
Greatest Common Factor
We found the factors 9052,5700 . The biggest common factor number is the GCF number.
So the greatest common factor 9052,5700 is 4.
Lets's calculate LCM of 420,9573
| 3 | 420, 9573 |
| 140, 3191 |
∴ So the LCM of the given numbers is 3 x 140 x 3191 = 1340220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1340220
Therefore, the GCF of Fractions 9052/420,5700/9573 is 4/1340220
Least Common Multiple of 420,9573 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 420,9573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,9573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,9573) x common factors =3 x 1 = 3
LCM(420,9573) = ( 420 × 9573 ) / 3
LCM(420,9573) = 4020660 / 3
LCM(420,9573) = 1340220
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FAQs on GCF of Fractions of 9052/420, 5700/9573
1. What is the HCF of 9052,5700?
The HCF of 9052,5700 is 4
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 9052/420, 5700/9573?
Answer: GCF of Numerators as per given numbers 9052/420, 5700/9573 is
GCF of Numerators i.e. for 9052,5700 is 4
LCM of denominators i.e. for 420,9573 is 1340220.
Thus, GCF of Fractions is 4/1340220.Finally, GCF of Fractions for 9052/420, 5700/9573 is 4/1340220.