GCF of 3445/209, 4985/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3445/209, 4985/419 i.e 5/87571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3445/209, 4985/419.
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 3445/209,4985/419?
Given fractions are 3445/209,4985/419
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 3445/209,4985/419, numerators are 3445,4985
Denominators are 209,419
The GCF of 3445,4985 is 5 .
LCM of 209,419 is 87571.
The greatest common factor of 3445/209,4985/419 = [GCF of 3445,4985]/[LCM of 209,419]= 5/87571
Therefore, the GCF of 3445/209,4985/419 is 5/87571.
To find the highest common factor of 3445,4985, we have to find the factors of both numbers and list the highest common factor.
The factors of 3445 are 1, 5, 13, 53, 65, 265, 689, 3445
The factors of 4985 are 1, 5, 997, 4985
The HCF of 3445,4985 is 5.
Lets's calculate GCF of 3445,4985
| 5 | 3445, 4985 |
| 689, 997 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3445,4985 By Matching Biggest Common Factor Method
Now, list down the factors of 3445
:1,5,13,53,65,265,689,3445
Now, list down the factors of 4985
:1,5,997,4985
Greatest Common Factor
We found the factors 3445,4985 . The biggest common factor number is the GCF number.
So the greatest common factor 3445,4985 is 5.
Lets's calculate LCM of 209,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 87571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/87571
Therefore, the GCF of Fractions 3445/209,4985/419 is 5/87571
Least Common Multiple of 209,419 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 209,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,419) x common factors =1 x 1 = 1
LCM(209,419) = ( 209 × 419 ) / 1
LCM(209,419) = 87571 / 1
LCM(209,419) = 87571
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3445/209, 4985/419
1. What is the HCF of 3445,4985?
The HCF of 3445,4985 is 5
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 3445/209, 4985/419?
Answer: GCF of Numerators as per given numbers 3445/209, 4985/419 is
GCF of Numerators i.e. for 3445,4985 is 5
LCM of denominators i.e. for 209,419 is 87571.
Thus, GCF of Fractions is 5/87571.Finally, GCF of Fractions for 3445/209, 4985/419 is 5/87571.