GCF of 6086/601, 5473/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6086/601, 5473/200 i.e 1/120200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6086/601, 5473/200.
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 6086/601,5473/200?
Given fractions are 6086/601,5473/200
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 6086/601,5473/200, numerators are 6086,5473
Denominators are 601,200
The GCF of 6086,5473 is 1 .
LCM of 601,200 is 120200.
The greatest common factor of 6086/601,5473/200 = [GCF of 6086,5473]/[LCM of 601,200]= 1/120200
Therefore, the GCF of 6086/601,5473/200 is 1/120200.
To find the highest common factor of 6086,5473, we have to find the factors of both numbers and list the highest common factor.
The factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086
The factors of 5473 are 1, 13, 421, 5473
The HCF of 6086,5473 is 1.
Lets's calculate GCF of 6086,5473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6086,5473 By Matching Biggest Common Factor Method
Now, list down the factors of 6086
:1,2,17,34,179,358,3043,6086
Now, list down the factors of 5473
:1,13,421,5473
Greatest Common Factor
We found the factors 6086,5473 . The biggest common factor number is the GCF number.
So the greatest common factor 6086,5473 is 1.
Lets's calculate LCM of 601,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 120200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120200
Therefore, the GCF of Fractions 6086/601,5473/200 is 1/120200
Least Common Multiple of 601,200 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 601,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,200) x common factors =1 x 1 = 1
LCM(601,200) = ( 601 × 200 ) / 1
LCM(601,200) = 120200 / 1
LCM(601,200) = 120200
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FAQs on GCF of Fractions of 6086/601, 5473/200
1. What is the HCF of 6086,5473?
The HCF of 6086,5473 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 6086/601, 5473/200?
Answer: GCF of Numerators as per given numbers 6086/601, 5473/200 is
GCF of Numerators i.e. for 6086,5473 is 1
LCM of denominators i.e. for 601,200 is 120200.
Thus, GCF of Fractions is 1/120200.Finally, GCF of Fractions for 6086/601, 5473/200 is 1/120200.