GCF of 5439/619, 3151/3415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5439/619, 3151/3415 i.e 1/2113885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5439/619, 3151/3415.
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 5439/619,3151/3415?
Given fractions are 5439/619,3151/3415
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 5439/619,3151/3415, numerators are 5439,3151
Denominators are 619,3415
The GCF of 5439,3151 is 1 .
LCM of 619,3415 is 2113885.
The greatest common factor of 5439/619,3151/3415 = [GCF of 5439,3151]/[LCM of 619,3415]= 1/2113885
Therefore, the GCF of 5439/619,3151/3415 is 1/2113885.
To find the highest common factor of 5439,3151, we have to find the factors of both numbers and list the highest common factor.
The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439
The factors of 3151 are 1, 23, 137, 3151
The HCF of 5439,3151 is 1.
Lets's calculate GCF of 5439,3151
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5439,3151 By Matching Biggest Common Factor Method
Now, list down the factors of 5439
:1,3,7,21,37,49,111,147,259,777,1813,5439
Now, list down the factors of 3151
:1,23,137,3151
Greatest Common Factor
We found the factors 5439,3151 . The biggest common factor number is the GCF number.
So the greatest common factor 5439,3151 is 1.
Lets's calculate LCM of 619,3415
Given numbers has no common factors except 1. So, there LCM is their product i.e 2113885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2113885
Therefore, the GCF of Fractions 5439/619,3151/3415 is 1/2113885
Least Common Multiple of 619,3415 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 619,3415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,3415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,3415) x common factors =1 x 1 = 1
LCM(619,3415) = ( 619 × 3415 ) / 1
LCM(619,3415) = 2113885 / 1
LCM(619,3415) = 2113885
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FAQs on GCF of Fractions of 5439/619, 3151/3415
1. What is the HCF of 5439,3151?
The HCF of 5439,3151 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 5439/619, 3151/3415?
Answer: GCF of Numerators as per given numbers 5439/619, 3151/3415 is
GCF of Numerators i.e. for 5439,3151 is 1
LCM of denominators i.e. for 619,3415 is 2113885.
Thus, GCF of Fractions is 1/2113885.Finally, GCF of Fractions for 5439/619, 3151/3415 is 1/2113885.