GCF of 3620/854, 4415/5319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3620/854, 4415/5319 i.e 5/4542426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3620/854, 4415/5319.
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 3620/854,4415/5319?
Given fractions are 3620/854,4415/5319
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 3620/854,4415/5319, numerators are 3620,4415
Denominators are 854,5319
The GCF of 3620,4415 is 5 .
LCM of 854,5319 is 4542426.
The greatest common factor of 3620/854,4415/5319 = [GCF of 3620,4415]/[LCM of 854,5319]= 5/4542426
Therefore, the GCF of 3620/854,4415/5319 is 5/4542426.
To find the highest common factor of 3620,4415, we have to find the factors of both numbers and list the highest common factor.
The factors of 3620 are 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620
The factors of 4415 are 1, 5, 883, 4415
The HCF of 3620,4415 is 5.
Lets's calculate GCF of 3620,4415
| 5 | 3620, 4415 |
| 724, 883 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3620,4415 By Matching Biggest Common Factor Method
Now, list down the factors of 3620
:1,2,4,5,10,20,181,362,724,905,1810,3620
Now, list down the factors of 4415
:1,5,883,4415
Greatest Common Factor
We found the factors 3620,4415 . The biggest common factor number is the GCF number.
So the greatest common factor 3620,4415 is 5.
Lets's calculate LCM of 854,5319
Given numbers has no common factors except 1. So, there LCM is their product i.e 4542426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4542426
Therefore, the GCF of Fractions 3620/854,4415/5319 is 5/4542426
Least Common Multiple of 854,5319 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 854,5319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,5319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(854,5319) x common factors =1 x 1 = 1
LCM(854,5319) = ( 854 × 5319 ) / 1
LCM(854,5319) = 4542426 / 1
LCM(854,5319) = 4542426
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3620/854, 4415/5319
1. What is the HCF of 3620,4415?
The HCF of 3620,4415 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 3620/854, 4415/5319?
Answer: GCF of Numerators as per given numbers 3620/854, 4415/5319 is
GCF of Numerators i.e. for 3620,4415 is 5
LCM of denominators i.e. for 854,5319 is 4542426.
Thus, GCF of Fractions is 5/4542426.Finally, GCF of Fractions for 3620/854, 4415/5319 is 5/4542426.