GCF of 9188/569, 1532/264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9188/569, 1532/264 i.e 4/150216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9188/569, 1532/264.
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 9188/569,1532/264?
Given fractions are 9188/569,1532/264
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 9188/569,1532/264, numerators are 9188,1532
Denominators are 569,264
The GCF of 9188,1532 is 4 .
LCM of 569,264 is 150216.
The greatest common factor of 9188/569,1532/264 = [GCF of 9188,1532]/[LCM of 569,264]= 4/150216
Therefore, the GCF of 9188/569,1532/264 is 4/150216.
To find the highest common factor of 9188,1532, we have to find the factors of both numbers and list the highest common factor.
The factors of 9188 are 1, 2, 4, 2297, 4594, 9188
The factors of 1532 are 1, 2, 4, 383, 766, 1532
The HCF of 9188,1532 is 4.
Lets's calculate GCF of 9188,1532
| 2 | 9188, 1532 |
| 2 | 4594, 766 |
| 2297, 383 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9188,1532 By Matching Biggest Common Factor Method
Now, list down the factors of 9188
:1,2,4,2297,4594,9188
Now, list down the factors of 1532
:1,2,4,383,766,1532
Greatest Common Factor
We found the factors 9188,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 9188,1532 is 4.
Lets's calculate LCM of 569,264
Given numbers has no common factors except 1. So, there LCM is their product i.e 150216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/150216
Therefore, the GCF of Fractions 9188/569,1532/264 is 4/150216
Least Common Multiple of 569,264 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 569,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,264) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,264) x common factors =1 x 1 = 1
LCM(569,264) = ( 569 × 264 ) / 1
LCM(569,264) = 150216 / 1
LCM(569,264) = 150216
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FAQs on GCF of Fractions of 9188/569, 1532/264
1. What is the HCF of 9188,1532?
The HCF of 9188,1532 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 9188/569, 1532/264?
Answer: GCF of Numerators as per given numbers 9188/569, 1532/264 is
GCF of Numerators i.e. for 9188,1532 is 4
LCM of denominators i.e. for 569,264 is 150216.
Thus, GCF of Fractions is 4/150216.Finally, GCF of Fractions for 9188/569, 1532/264 is 4/150216.