GCF of 1606/134, 4971/6083
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1606/134, 4971/6083 i.e 1/815122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1606/134, 4971/6083.
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 1606/134,4971/6083?
Given fractions are 1606/134,4971/6083
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 1606/134,4971/6083, numerators are 1606,4971
Denominators are 134,6083
The GCF of 1606,4971 is 1 .
LCM of 134,6083 is 815122.
The greatest common factor of 1606/134,4971/6083 = [GCF of 1606,4971]/[LCM of 134,6083]= 1/815122
Therefore, the GCF of 1606/134,4971/6083 is 1/815122.
To find the highest common factor of 1606,4971, we have to find the factors of both numbers and list the highest common factor.
The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606
The factors of 4971 are 1, 3, 1657, 4971
The HCF of 1606,4971 is 1.
Lets's calculate GCF of 1606,4971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1606,4971 By Matching Biggest Common Factor Method
Now, list down the factors of 1606
:1,2,11,22,73,146,803,1606
Now, list down the factors of 4971
:1,3,1657,4971
Greatest Common Factor
We found the factors 1606,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 1606,4971 is 1.
Lets's calculate LCM of 134,6083
Given numbers has no common factors except 1. So, there LCM is their product i.e 815122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/815122
Therefore, the GCF of Fractions 1606/134,4971/6083 is 1/815122
Least Common Multiple of 134,6083 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 134,6083 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,6083) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,6083) x common factors =1 x 1 = 1
LCM(134,6083) = ( 134 × 6083 ) / 1
LCM(134,6083) = 815122 / 1
LCM(134,6083) = 815122
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1606/134, 4971/6083
1. What is the HCF of 1606,4971?
The HCF of 1606,4971 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 1606/134, 4971/6083?
Answer: GCF of Numerators as per given numbers 1606/134, 4971/6083 is
GCF of Numerators i.e. for 1606,4971 is 1
LCM of denominators i.e. for 134,6083 is 815122.
Thus, GCF of Fractions is 1/815122.Finally, GCF of Fractions for 1606/134, 4971/6083 is 1/815122.