GCF of 4029/594, 1269/9163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4029/594, 1269/9163 i.e 3/494802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4029/594, 1269/9163.
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 4029/594,1269/9163?
Given fractions are 4029/594,1269/9163
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 4029/594,1269/9163, numerators are 4029,1269
Denominators are 594,9163
The GCF of 4029,1269 is 3 .
LCM of 594,9163 is 494802.
The greatest common factor of 4029/594,1269/9163 = [GCF of 4029,1269]/[LCM of 594,9163]= 3/494802
Therefore, the GCF of 4029/594,1269/9163 is 3/494802.
To find the highest common factor of 4029,1269, we have to find the factors of both numbers and list the highest common factor.
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269
The HCF of 4029,1269 is 3.
Lets's calculate GCF of 4029,1269
| 3 | 4029, 1269 |
| 1343, 423 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4029,1269 By Matching Biggest Common Factor Method
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Now, list down the factors of 1269
:1,3,9,27,47,141,423,1269
Greatest Common Factor
We found the factors 4029,1269 . The biggest common factor number is the GCF number.
So the greatest common factor 4029,1269 is 3.
Lets's calculate LCM of 594,9163
| 11 | 594, 9163 |
| 54, 833 |
∴ So the LCM of the given numbers is 11 x 54 x 833 = 494802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/494802
Therefore, the GCF of Fractions 4029/594,1269/9163 is 3/494802
Least Common Multiple of 594,9163 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 594,9163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,9163) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(594,9163) x common factors =11 x 1 = 11
LCM(594,9163) = ( 594 × 9163 ) / 11
LCM(594,9163) = 5442822 / 11
LCM(594,9163) = 494802
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FAQs on GCF of Fractions of 4029/594, 1269/9163
1. What is the HCF of 4029,1269?
The HCF of 4029,1269 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 4029/594, 1269/9163?
Answer: GCF of Numerators as per given numbers 4029/594, 1269/9163 is
GCF of Numerators i.e. for 4029,1269 is 3
LCM of denominators i.e. for 594,9163 is 494802.
Thus, GCF of Fractions is 3/494802.Finally, GCF of Fractions for 4029/594, 1269/9163 is 3/494802.