GCF of 9128/528, 5953/1136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9128/528, 5953/1136 i.e 1/37488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9128/528, 5953/1136.
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 9128/528,5953/1136?
Given fractions are 9128/528,5953/1136
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 9128/528,5953/1136, numerators are 9128,5953
Denominators are 528,1136
The GCF of 9128,5953 is 1 .
LCM of 528,1136 is 37488.
The greatest common factor of 9128/528,5953/1136 = [GCF of 9128,5953]/[LCM of 528,1136]= 1/37488
Therefore, the GCF of 9128/528,5953/1136 is 1/37488.
To find the highest common factor of 9128,5953, we have to find the factors of both numbers and list the highest common factor.
The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
The factors of 5953 are 1, 5953
The HCF of 9128,5953 is 1.
Lets's calculate GCF of 9128,5953
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9128,5953 By Matching Biggest Common Factor Method
Now, list down the factors of 9128
:1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
Now, list down the factors of 5953
:1,5953
Greatest Common Factor
We found the factors 9128,5953 . The biggest common factor number is the GCF number.
So the greatest common factor 9128,5953 is 1.
Lets's calculate LCM of 528,1136
| 2 | 528, 1136 |
| 2 | 264, 568 |
| 2 | 132, 284 |
| 2 | 66, 142 |
| 33, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 33 x 71 = 37488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37488
Therefore, the GCF of Fractions 9128/528,5953/1136 is 1/37488
Least Common Multiple of 528,1136 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 528,1136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,1136) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(528,1136) x common factors =16 x 1 = 16
LCM(528,1136) = ( 528 × 1136 ) / 16
LCM(528,1136) = 599808 / 16
LCM(528,1136) = 37488
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9128/528, 5953/1136
1. What is the HCF of 9128,5953?
The HCF of 9128,5953 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 9128/528, 5953/1136?
Answer: GCF of Numerators as per given numbers 9128/528, 5953/1136 is
GCF of Numerators i.e. for 9128,5953 is 1
LCM of denominators i.e. for 528,1136 is 37488.
Thus, GCF of Fractions is 1/37488.Finally, GCF of Fractions for 9128/528, 5953/1136 is 1/37488.