GCF of 4447/139, 3057/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4447/139, 3057/587 i.e 1/81593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4447/139, 3057/587.
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 4447/139,3057/587?
Given fractions are 4447/139,3057/587
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 4447/139,3057/587, numerators are 4447,3057
Denominators are 139,587
The GCF of 4447,3057 is 1 .
LCM of 139,587 is 81593.
The greatest common factor of 4447/139,3057/587 = [GCF of 4447,3057]/[LCM of 139,587]= 1/81593
Therefore, the GCF of 4447/139,3057/587 is 1/81593.
To find the highest common factor of 4447,3057, we have to find the factors of both numbers and list the highest common factor.
The factors of 4447 are 1, 4447
The factors of 3057 are 1, 3, 1019, 3057
The HCF of 4447,3057 is 1.
Lets's calculate GCF of 4447,3057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4447,3057 By Matching Biggest Common Factor Method
Now, list down the factors of 4447
:1,4447
Now, list down the factors of 3057
:1,3,1019,3057
Greatest Common Factor
We found the factors 4447,3057 . The biggest common factor number is the GCF number.
So the greatest common factor 4447,3057 is 1.
Lets's calculate LCM of 139,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 81593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81593
Therefore, the GCF of Fractions 4447/139,3057/587 is 1/81593
Least Common Multiple of 139,587 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 139,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,587) x common factors =1 x 1 = 1
LCM(139,587) = ( 139 × 587 ) / 1
LCM(139,587) = 81593 / 1
LCM(139,587) = 81593
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4447/139, 3057/587
1. What is the HCF of 4447,3057?
The HCF of 4447,3057 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 4447/139, 3057/587?
Answer: GCF of Numerators as per given numbers 4447/139, 3057/587 is
GCF of Numerators i.e. for 4447,3057 is 1
LCM of denominators i.e. for 139,587 is 81593.
Thus, GCF of Fractions is 1/81593.Finally, GCF of Fractions for 4447/139, 3057/587 is 1/81593.