GCF of 445/61, 420/4491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 445/61, 420/4491 i.e 5/273951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/61, 420/4491.
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 445/61,420/4491?
Given fractions are 445/61,420/4491
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 445/61,420/4491, numerators are 445,420
Denominators are 61,4491
The GCF of 445,420 is 5 .
LCM of 61,4491 is 273951.
The greatest common factor of 445/61,420/4491 = [GCF of 445,420]/[LCM of 61,4491]= 5/273951
Therefore, the GCF of 445/61,420/4491 is 5/273951.
To find the highest common factor of 445,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 445 are 1, 5, 89, 445
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 445,420 is 5.
Lets's calculate GCF of 445,420
| 5 | 445, 420 |
| 89, 84 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 445,420 By Matching Biggest Common Factor Method
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 445,420 . The biggest common factor number is the GCF number.
So the greatest common factor 445,420 is 5.
Lets's calculate LCM of 61,4491
Given numbers has no common factors except 1. So, there LCM is their product i.e 273951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/273951
Therefore, the GCF of Fractions 445/61,420/4491 is 5/273951
Least Common Multiple of 61,4491 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 61,4491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,4491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,4491) x common factors =1 x 1 = 1
LCM(61,4491) = ( 61 × 4491 ) / 1
LCM(61,4491) = 273951 / 1
LCM(61,4491) = 273951
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 445/61, 420/4491
1. What is the HCF of 445,420?
The HCF of 445,420 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 445/61, 420/4491?
Answer: GCF of Numerators as per given numbers 445/61, 420/4491 is
GCF of Numerators i.e. for 445,420 is 5
LCM of denominators i.e. for 61,4491 is 273951.
Thus, GCF of Fractions is 5/273951.Finally, GCF of Fractions for 445/61, 420/4491 is 5/273951.