GCF of 3217/108, 4140/2125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3217/108, 4140/2125 i.e 1/229500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3217/108, 4140/2125.
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 3217/108,4140/2125?
Given fractions are 3217/108,4140/2125
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 3217/108,4140/2125, numerators are 3217,4140
Denominators are 108,2125
The GCF of 3217,4140 is 1 .
LCM of 108,2125 is 229500.
The greatest common factor of 3217/108,4140/2125 = [GCF of 3217,4140]/[LCM of 108,2125]= 1/229500
Therefore, the GCF of 3217/108,4140/2125 is 1/229500.
To find the highest common factor of 3217,4140, we have to find the factors of both numbers and list the highest common factor.
The factors of 3217 are 1, 3217
The factors of 4140 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140
The HCF of 3217,4140 is 1.
Lets's calculate GCF of 3217,4140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3217,4140 By Matching Biggest Common Factor Method
Now, list down the factors of 3217
:1,3217
Now, list down the factors of 4140
:1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140
Greatest Common Factor
We found the factors 3217,4140 . The biggest common factor number is the GCF number.
So the greatest common factor 3217,4140 is 1.
Lets's calculate LCM of 108,2125
Given numbers has no common factors except 1. So, there LCM is their product i.e 229500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229500
Therefore, the GCF of Fractions 3217/108,4140/2125 is 1/229500
Least Common Multiple of 108,2125 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 108,2125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,2125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,2125) x common factors =1 x 1 = 1
LCM(108,2125) = ( 108 × 2125 ) / 1
LCM(108,2125) = 229500 / 1
LCM(108,2125) = 229500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3217/108, 4140/2125
1. What is the HCF of 3217,4140?
The HCF of 3217,4140 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 3217/108, 4140/2125?
Answer: GCF of Numerators as per given numbers 3217/108, 4140/2125 is
GCF of Numerators i.e. for 3217,4140 is 1
LCM of denominators i.e. for 108,2125 is 229500.
Thus, GCF of Fractions is 1/229500.Finally, GCF of Fractions for 3217/108, 4140/2125 is 1/229500.