GCF of 5047/449, 1695/2146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5047/449, 1695/2146 i.e 1/963554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5047/449, 1695/2146.
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 5047/449,1695/2146?
Given fractions are 5047/449,1695/2146
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 5047/449,1695/2146, numerators are 5047,1695
Denominators are 449,2146
The GCF of 5047,1695 is 1 .
LCM of 449,2146 is 963554.
The greatest common factor of 5047/449,1695/2146 = [GCF of 5047,1695]/[LCM of 449,2146]= 1/963554
Therefore, the GCF of 5047/449,1695/2146 is 1/963554.
To find the highest common factor of 5047,1695, we have to find the factors of both numbers and list the highest common factor.
The factors of 5047 are 1, 7, 49, 103, 721, 5047
The factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695
The HCF of 5047,1695 is 1.
Lets's calculate GCF of 5047,1695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5047,1695 By Matching Biggest Common Factor Method
Now, list down the factors of 5047
:1,7,49,103,721,5047
Now, list down the factors of 1695
:1,3,5,15,113,339,565,1695
Greatest Common Factor
We found the factors 5047,1695 . The biggest common factor number is the GCF number.
So the greatest common factor 5047,1695 is 1.
Lets's calculate LCM of 449,2146
Given numbers has no common factors except 1. So, there LCM is their product i.e 963554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/963554
Therefore, the GCF of Fractions 5047/449,1695/2146 is 1/963554
Least Common Multiple of 449,2146 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 449,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,2146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,2146) x common factors =1 x 1 = 1
LCM(449,2146) = ( 449 × 2146 ) / 1
LCM(449,2146) = 963554 / 1
LCM(449,2146) = 963554
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FAQs on GCF of Fractions of 5047/449, 1695/2146
1. What is the HCF of 5047,1695?
The HCF of 5047,1695 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 5047/449, 1695/2146?
Answer: GCF of Numerators as per given numbers 5047/449, 1695/2146 is
GCF of Numerators i.e. for 5047,1695 is 1
LCM of denominators i.e. for 449,2146 is 963554.
Thus, GCF of Fractions is 1/963554.Finally, GCF of Fractions for 5047/449, 1695/2146 is 1/963554.