GCF of 4419/132, 8170/9221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4419/132, 8170/9221 i.e 1/1217172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4419/132, 8170/9221.
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 4419/132,8170/9221?
Given fractions are 4419/132,8170/9221
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 4419/132,8170/9221, numerators are 4419,8170
Denominators are 132,9221
The GCF of 4419,8170 is 1 .
LCM of 132,9221 is 1217172.
The greatest common factor of 4419/132,8170/9221 = [GCF of 4419,8170]/[LCM of 132,9221]= 1/1217172
Therefore, the GCF of 4419/132,8170/9221 is 1/1217172.
To find the highest common factor of 4419,8170, we have to find the factors of both numbers and list the highest common factor.
The factors of 4419 are 1, 3, 9, 491, 1473, 4419
The factors of 8170 are 1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170
The HCF of 4419,8170 is 1.
Lets's calculate GCF of 4419,8170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4419,8170 By Matching Biggest Common Factor Method
Now, list down the factors of 4419
:1,3,9,491,1473,4419
Now, list down the factors of 8170
:1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170
Greatest Common Factor
We found the factors 4419,8170 . The biggest common factor number is the GCF number.
So the greatest common factor 4419,8170 is 1.
Lets's calculate LCM of 132,9221
Given numbers has no common factors except 1. So, there LCM is their product i.e 1217172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1217172
Therefore, the GCF of Fractions 4419/132,8170/9221 is 1/1217172
Least Common Multiple of 132,9221 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 132,9221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,9221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(132,9221) x common factors =1 x 1 = 1
LCM(132,9221) = ( 132 × 9221 ) / 1
LCM(132,9221) = 1217172 / 1
LCM(132,9221) = 1217172
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4419/132, 8170/9221
1. What is the HCF of 4419,8170?
The HCF of 4419,8170 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 4419/132, 8170/9221?
Answer: GCF of Numerators as per given numbers 4419/132, 8170/9221 is
GCF of Numerators i.e. for 4419,8170 is 1
LCM of denominators i.e. for 132,9221 is 1217172.
Thus, GCF of Fractions is 1/1217172.Finally, GCF of Fractions for 4419/132, 8170/9221 is 1/1217172.