GCF of 4087/279, 2874/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4087/279, 2874/729 i.e 1/22599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4087/279, 2874/729.
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 4087/279,2874/729?
Given fractions are 4087/279,2874/729
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 4087/279,2874/729, numerators are 4087,2874
Denominators are 279,729
The GCF of 4087,2874 is 1 .
LCM of 279,729 is 22599.
The greatest common factor of 4087/279,2874/729 = [GCF of 4087,2874]/[LCM of 279,729]= 1/22599
Therefore, the GCF of 4087/279,2874/729 is 1/22599.
To find the highest common factor of 4087,2874, we have to find the factors of both numbers and list the highest common factor.
The factors of 4087 are 1, 61, 67, 4087
The factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874
The HCF of 4087,2874 is 1.
Lets's calculate GCF of 4087,2874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4087,2874 By Matching Biggest Common Factor Method
Now, list down the factors of 4087
:1,61,67,4087
Now, list down the factors of 2874
:1,2,3,6,479,958,1437,2874
Greatest Common Factor
We found the factors 4087,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 4087,2874 is 1.
Lets's calculate LCM of 279,729
| 3 | 279, 729 |
| 3 | 93, 243 |
| 31, 81 |
∴ So the LCM of the given numbers is 3 x 3 x 31 x 81 = 22599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22599
Therefore, the GCF of Fractions 4087/279,2874/729 is 1/22599
Least Common Multiple of 279,729 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 279,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,729) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(279,729) x common factors =9 x 1 = 9
LCM(279,729) = ( 279 × 729 ) / 9
LCM(279,729) = 203391 / 9
LCM(279,729) = 22599
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FAQs on GCF of Fractions of 4087/279, 2874/729
1. What is the HCF of 4087,2874?
The HCF of 4087,2874 is 1
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 4087/279, 2874/729?
Answer: GCF of Numerators as per given numbers 4087/279, 2874/729 is
GCF of Numerators i.e. for 4087,2874 is 1
LCM of denominators i.e. for 279,729 is 22599.
Thus, GCF of Fractions is 1/22599.Finally, GCF of Fractions for 4087/279, 2874/729 is 1/22599.