GCF of 4564/585, 5943/9666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4564/585, 5943/9666 i.e 7/628290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4564/585, 5943/9666.
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 4564/585,5943/9666?
Given fractions are 4564/585,5943/9666
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 4564/585,5943/9666, numerators are 4564,5943
Denominators are 585,9666
The GCF of 4564,5943 is 7 .
LCM of 585,9666 is 628290.
The greatest common factor of 4564/585,5943/9666 = [GCF of 4564,5943]/[LCM of 585,9666]= 7/628290
Therefore, the GCF of 4564/585,5943/9666 is 7/628290.
To find the highest common factor of 4564,5943, we have to find the factors of both numbers and list the highest common factor.
The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564
The factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943
The HCF of 4564,5943 is 7.
Lets's calculate GCF of 4564,5943
| 7 | 4564, 5943 |
| 652, 849 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4564,5943 By Matching Biggest Common Factor Method
Now, list down the factors of 4564
:1,2,4,7,14,28,163,326,652,1141,2282,4564
Now, list down the factors of 5943
:1,3,7,21,283,849,1981,5943
Greatest Common Factor
We found the factors 4564,5943 . The biggest common factor number is the GCF number.
So the greatest common factor 4564,5943 is 7.
Lets's calculate LCM of 585,9666
| 3 | 585, 9666 |
| 3 | 195, 3222 |
| 65, 1074 |
∴ So the LCM of the given numbers is 3 x 3 x 65 x 1074 = 628290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/628290
Therefore, the GCF of Fractions 4564/585,5943/9666 is 7/628290
Least Common Multiple of 585,9666 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 585,9666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,9666) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(585,9666) x common factors =9 x 1 = 9
LCM(585,9666) = ( 585 × 9666 ) / 9
LCM(585,9666) = 5654610 / 9
LCM(585,9666) = 628290
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FAQs on GCF of Fractions of 4564/585, 5943/9666
1. What is the HCF of 4564,5943?
The HCF of 4564,5943 is 7
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 4564/585, 5943/9666?
Answer: GCF of Numerators as per given numbers 4564/585, 5943/9666 is
GCF of Numerators i.e. for 4564,5943 is 7
LCM of denominators i.e. for 585,9666 is 628290.
Thus, GCF of Fractions is 7/628290.Finally, GCF of Fractions for 4564/585, 5943/9666 is 7/628290.