GCF of 5498/137, 6015/6271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5498/137, 6015/6271 i.e 1/859127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5498/137, 6015/6271.
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 5498/137,6015/6271?
Given fractions are 5498/137,6015/6271
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 5498/137,6015/6271, numerators are 5498,6015
Denominators are 137,6271
The GCF of 5498,6015 is 1 .
LCM of 137,6271 is 859127.
The greatest common factor of 5498/137,6015/6271 = [GCF of 5498,6015]/[LCM of 137,6271]= 1/859127
Therefore, the GCF of 5498/137,6015/6271 is 1/859127.
To find the highest common factor of 5498,6015, we have to find the factors of both numbers and list the highest common factor.
The factors of 5498 are 1, 2, 2749, 5498
The factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015
The HCF of 5498,6015 is 1.
Lets's calculate GCF of 5498,6015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5498,6015 By Matching Biggest Common Factor Method
Now, list down the factors of 5498
:1,2,2749,5498
Now, list down the factors of 6015
:1,3,5,15,401,1203,2005,6015
Greatest Common Factor
We found the factors 5498,6015 . The biggest common factor number is the GCF number.
So the greatest common factor 5498,6015 is 1.
Lets's calculate LCM of 137,6271
Given numbers has no common factors except 1. So, there LCM is their product i.e 859127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/859127
Therefore, the GCF of Fractions 5498/137,6015/6271 is 1/859127
Least Common Multiple of 137,6271 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 137,6271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,6271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,6271) x common factors =1 x 1 = 1
LCM(137,6271) = ( 137 × 6271 ) / 1
LCM(137,6271) = 859127 / 1
LCM(137,6271) = 859127
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FAQs on GCF of Fractions of 5498/137, 6015/6271
1. What is the HCF of 5498,6015?
The HCF of 5498,6015 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 5498/137, 6015/6271?
Answer: GCF of Numerators as per given numbers 5498/137, 6015/6271 is
GCF of Numerators i.e. for 5498,6015 is 1
LCM of denominators i.e. for 137,6271 is 859127.
Thus, GCF of Fractions is 1/859127.Finally, GCF of Fractions for 5498/137, 6015/6271 is 1/859127.