GCF of 8967/892, 4575/1280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8967/892, 4575/1280 i.e 183/285440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8967/892, 4575/1280.
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 8967/892,4575/1280?
Given fractions are 8967/892,4575/1280
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 8967/892,4575/1280, numerators are 8967,4575
Denominators are 892,1280
The GCF of 8967,4575 is 183 .
LCM of 892,1280 is 285440.
The greatest common factor of 8967/892,4575/1280 = [GCF of 8967,4575]/[LCM of 892,1280]= 183/285440
Therefore, the GCF of 8967/892,4575/1280 is 183/285440.
To find the highest common factor of 8967,4575, we have to find the factors of both numbers and list the highest common factor.
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
The factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575
The HCF of 8967,4575 is 183.
Lets's calculate GCF of 8967,4575
| 3 | 8967, 4575 |
| 61 | 2989, 1525 |
| 49, 25 |
∴ So the GCF of the given numbers is 3 x 61 = 183
Greatest Common Factor of 8967,4575 By Matching Biggest Common Factor Method
Now, list down the factors of 8967
:1,3,7,21,49,61,147,183,427,1281,2989,8967
Now, list down the factors of 4575
:1,3,5,15,25,61,75,183,305,915,1525,4575
Greatest Common Factor
We found the factors 8967,4575 . The biggest common factor number is the GCF number.
So the greatest common factor 8967,4575 is 183.
Lets's calculate LCM of 892,1280
| 2 | 892, 1280 |
| 2 | 446, 640 |
| 223, 320 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 320 = 285440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 183/285440
Therefore, the GCF of Fractions 8967/892,4575/1280 is 183/285440
Least Common Multiple of 892,1280 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 892,1280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,1280) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,1280) x common factors =4 x 1 = 4
LCM(892,1280) = ( 892 × 1280 ) / 4
LCM(892,1280) = 1141760 / 4
LCM(892,1280) = 285440
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8967/892, 4575/1280
1. What is the HCF of 8967,4575?
The HCF of 8967,4575 is 183
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 8967/892, 4575/1280?
Answer: GCF of Numerators as per given numbers 8967/892, 4575/1280 is
GCF of Numerators i.e. for 8967,4575 is 183
LCM of denominators i.e. for 892,1280 is 285440.
Thus, GCF of Fractions is 183/285440.Finally, GCF of Fractions for 8967/892, 4575/1280 is 183/285440.