GCF of 2862/578, 4017/3594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2862/578, 4017/3594 i.e 3/1038666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2862/578, 4017/3594.
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 2862/578,4017/3594?
Given fractions are 2862/578,4017/3594
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 2862/578,4017/3594, numerators are 2862,4017
Denominators are 578,3594
The GCF of 2862,4017 is 3 .
LCM of 578,3594 is 1038666.
The greatest common factor of 2862/578,4017/3594 = [GCF of 2862,4017]/[LCM of 578,3594]= 3/1038666
Therefore, the GCF of 2862/578,4017/3594 is 3/1038666.
To find the highest common factor of 2862,4017, we have to find the factors of both numbers and list the highest common factor.
The factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862
The factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017
The HCF of 2862,4017 is 3.
Lets's calculate GCF of 2862,4017
| 3 | 2862, 4017 |
| 954, 1339 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2862,4017 By Matching Biggest Common Factor Method
Now, list down the factors of 2862
:1,2,3,6,9,18,27,53,54,106,159,318,477,954,1431,2862
Now, list down the factors of 4017
:1,3,13,39,103,309,1339,4017
Greatest Common Factor
We found the factors 2862,4017 . The biggest common factor number is the GCF number.
So the greatest common factor 2862,4017 is 3.
Lets's calculate LCM of 578,3594
| 2 | 578, 3594 |
| 289, 1797 |
∴ So the LCM of the given numbers is 2 x 289 x 1797 = 1038666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1038666
Therefore, the GCF of Fractions 2862/578,4017/3594 is 3/1038666
Least Common Multiple of 578,3594 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 578,3594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,3594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,3594) x common factors =2 x 1 = 2
LCM(578,3594) = ( 578 × 3594 ) / 2
LCM(578,3594) = 2077332 / 2
LCM(578,3594) = 1038666
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FAQs on GCF of Fractions of 2862/578, 4017/3594
1. What is the HCF of 2862,4017?
The HCF of 2862,4017 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 2862/578, 4017/3594?
Answer: GCF of Numerators as per given numbers 2862/578, 4017/3594 is
GCF of Numerators i.e. for 2862,4017 is 3
LCM of denominators i.e. for 578,3594 is 1038666.
Thus, GCF of Fractions is 3/1038666.Finally, GCF of Fractions for 2862/578, 4017/3594 is 3/1038666.