GCF of 3215/882, 4232/1999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3215/882, 4232/1999 i.e 1/1763118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3215/882, 4232/1999.
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 3215/882,4232/1999?
Given fractions are 3215/882,4232/1999
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 3215/882,4232/1999, numerators are 3215,4232
Denominators are 882,1999
The GCF of 3215,4232 is 1 .
LCM of 882,1999 is 1763118.
The greatest common factor of 3215/882,4232/1999 = [GCF of 3215,4232]/[LCM of 882,1999]= 1/1763118
Therefore, the GCF of 3215/882,4232/1999 is 1/1763118.
To find the highest common factor of 3215,4232, we have to find the factors of both numbers and list the highest common factor.
The factors of 3215 are 1, 5, 643, 3215
The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232
The HCF of 3215,4232 is 1.
Lets's calculate GCF of 3215,4232
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3215,4232 By Matching Biggest Common Factor Method
Now, list down the factors of 3215
:1,5,643,3215
Now, list down the factors of 4232
:1,2,4,8,23,46,92,184,529,1058,2116,4232
Greatest Common Factor
We found the factors 3215,4232 . The biggest common factor number is the GCF number.
So the greatest common factor 3215,4232 is 1.
Lets's calculate LCM of 882,1999
Given numbers has no common factors except 1. So, there LCM is their product i.e 1763118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1763118
Therefore, the GCF of Fractions 3215/882,4232/1999 is 1/1763118
Least Common Multiple of 882,1999 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 882,1999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,1999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,1999) x common factors =1 x 1 = 1
LCM(882,1999) = ( 882 × 1999 ) / 1
LCM(882,1999) = 1763118 / 1
LCM(882,1999) = 1763118
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FAQs on GCF of Fractions of 3215/882, 4232/1999
1. What is the HCF of 3215,4232?
The HCF of 3215,4232 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 3215/882, 4232/1999?
Answer: GCF of Numerators as per given numbers 3215/882, 4232/1999 is
GCF of Numerators i.e. for 3215,4232 is 1
LCM of denominators i.e. for 882,1999 is 1763118.
Thus, GCF of Fractions is 1/1763118.Finally, GCF of Fractions for 3215/882, 4232/1999 is 1/1763118.