GCF of 2583/576, 9213/1070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2583/576, 9213/1070 i.e 3/308160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2583/576, 9213/1070.
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 2583/576,9213/1070?
Given fractions are 2583/576,9213/1070
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 2583/576,9213/1070, numerators are 2583,9213
Denominators are 576,1070
The GCF of 2583,9213 is 3 .
LCM of 576,1070 is 308160.
The greatest common factor of 2583/576,9213/1070 = [GCF of 2583,9213]/[LCM of 576,1070]= 3/308160
Therefore, the GCF of 2583/576,9213/1070 is 3/308160.
To find the highest common factor of 2583,9213, we have to find the factors of both numbers and list the highest common factor.
The factors of 2583 are 1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861, 2583
The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213
The HCF of 2583,9213 is 3.
Lets's calculate GCF of 2583,9213
| 3 | 2583, 9213 |
| 861, 3071 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2583,9213 By Matching Biggest Common Factor Method
Now, list down the factors of 2583
:1,3,7,9,21,41,63,123,287,369,861,2583
Now, list down the factors of 9213
:1,3,37,83,111,249,3071,9213
Greatest Common Factor
We found the factors 2583,9213 . The biggest common factor number is the GCF number.
So the greatest common factor 2583,9213 is 3.
Lets's calculate LCM of 576,1070
| 2 | 576, 1070 |
| 288, 535 |
∴ So the LCM of the given numbers is 2 x 288 x 535 = 308160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/308160
Therefore, the GCF of Fractions 2583/576,9213/1070 is 3/308160
Least Common Multiple of 576,1070 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 576,1070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,1070) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(576,1070) x common factors =2 x 1 = 2
LCM(576,1070) = ( 576 × 1070 ) / 2
LCM(576,1070) = 616320 / 2
LCM(576,1070) = 308160
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FAQs on GCF of Fractions of 2583/576, 9213/1070
1. What is the HCF of 2583,9213?
The HCF of 2583,9213 is 3
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 2583/576, 9213/1070?
Answer: GCF of Numerators as per given numbers 2583/576, 9213/1070 is
GCF of Numerators i.e. for 2583,9213 is 3
LCM of denominators i.e. for 576,1070 is 308160.
Thus, GCF of Fractions is 3/308160.Finally, GCF of Fractions for 2583/576, 9213/1070 is 3/308160.