GCF of 1387/299, 2586/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1387/299, 2586/549 i.e 1/164151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1387/299, 2586/549.
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 1387/299,2586/549?
Given fractions are 1387/299,2586/549
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 1387/299,2586/549, numerators are 1387,2586
Denominators are 299,549
The GCF of 1387,2586 is 1 .
LCM of 299,549 is 164151.
The greatest common factor of 1387/299,2586/549 = [GCF of 1387,2586]/[LCM of 299,549]= 1/164151
Therefore, the GCF of 1387/299,2586/549 is 1/164151.
To find the highest common factor of 1387,2586, we have to find the factors of both numbers and list the highest common factor.
The factors of 1387 are 1, 19, 73, 1387
The factors of 2586 are 1, 2, 3, 6, 431, 862, 1293, 2586
The HCF of 1387,2586 is 1.
Lets's calculate GCF of 1387,2586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1387,2586 By Matching Biggest Common Factor Method
Now, list down the factors of 1387
:1,19,73,1387
Now, list down the factors of 2586
:1,2,3,6,431,862,1293,2586
Greatest Common Factor
We found the factors 1387,2586 . The biggest common factor number is the GCF number.
So the greatest common factor 1387,2586 is 1.
Lets's calculate LCM of 299,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 164151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164151
Therefore, the GCF of Fractions 1387/299,2586/549 is 1/164151
Least Common Multiple of 299,549 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 299,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,549) x common factors =1 x 1 = 1
LCM(299,549) = ( 299 × 549 ) / 1
LCM(299,549) = 164151 / 1
LCM(299,549) = 164151
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FAQs on GCF of Fractions of 1387/299, 2586/549
1. What is the HCF of 1387,2586?
The HCF of 1387,2586 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 1387/299, 2586/549?
Answer: GCF of Numerators as per given numbers 1387/299, 2586/549 is
GCF of Numerators i.e. for 1387,2586 is 1
LCM of denominators i.e. for 299,549 is 164151.
Thus, GCF of Fractions is 1/164151.Finally, GCF of Fractions for 1387/299, 2586/549 is 1/164151.