GCF of 9526/600, 9053/2384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9526/600, 9053/2384 i.e 11/178800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9526/600, 9053/2384.
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 9526/600,9053/2384?
Given fractions are 9526/600,9053/2384
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 9526/600,9053/2384, numerators are 9526,9053
Denominators are 600,2384
The GCF of 9526,9053 is 11 .
LCM of 600,2384 is 178800.
The greatest common factor of 9526/600,9053/2384 = [GCF of 9526,9053]/[LCM of 600,2384]= 11/178800
Therefore, the GCF of 9526/600,9053/2384 is 11/178800.
To find the highest common factor of 9526,9053, we have to find the factors of both numbers and list the highest common factor.
The factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526
The factors of 9053 are 1, 11, 823, 9053
The HCF of 9526,9053 is 11.
Lets's calculate GCF of 9526,9053
| 11 | 9526, 9053 |
| 866, 823 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9526,9053 By Matching Biggest Common Factor Method
Now, list down the factors of 9526
:1,2,11,22,433,866,4763,9526
Now, list down the factors of 9053
:1,11,823,9053
Greatest Common Factor
We found the factors 9526,9053 . The biggest common factor number is the GCF number.
So the greatest common factor 9526,9053 is 11.
Lets's calculate LCM of 600,2384
| 2 | 600, 2384 |
| 2 | 300, 1192 |
| 2 | 150, 596 |
| 75, 298 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 75 x 298 = 178800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/178800
Therefore, the GCF of Fractions 9526/600,9053/2384 is 11/178800
Least Common Multiple of 600,2384 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 600,2384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,2384) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(600,2384) x common factors =8 x 1 = 8
LCM(600,2384) = ( 600 × 2384 ) / 8
LCM(600,2384) = 1430400 / 8
LCM(600,2384) = 178800
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FAQs on GCF of Fractions of 9526/600, 9053/2384
1. What is the HCF of 9526,9053?
The HCF of 9526,9053 is 11
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 9526/600, 9053/2384?
Answer: GCF of Numerators as per given numbers 9526/600, 9053/2384 is
GCF of Numerators i.e. for 9526,9053 is 11
LCM of denominators i.e. for 600,2384 is 178800.
Thus, GCF of Fractions is 11/178800.Finally, GCF of Fractions for 9526/600, 9053/2384 is 11/178800.