GCF of 3143/639, 2232/1875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3143/639, 2232/1875 i.e 1/399375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3143/639, 2232/1875.
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 3143/639,2232/1875?
Given fractions are 3143/639,2232/1875
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 3143/639,2232/1875, numerators are 3143,2232
Denominators are 639,1875
The GCF of 3143,2232 is 1 .
LCM of 639,1875 is 399375.
The greatest common factor of 3143/639,2232/1875 = [GCF of 3143,2232]/[LCM of 639,1875]= 1/399375
Therefore, the GCF of 3143/639,2232/1875 is 1/399375.
To find the highest common factor of 3143,2232, we have to find the factors of both numbers and list the highest common factor.
The factors of 3143 are 1, 7, 449, 3143
The factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232
The HCF of 3143,2232 is 1.
Lets's calculate GCF of 3143,2232
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3143,2232 By Matching Biggest Common Factor Method
Now, list down the factors of 3143
:1,7,449,3143
Now, list down the factors of 2232
:1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232
Greatest Common Factor
We found the factors 3143,2232 . The biggest common factor number is the GCF number.
So the greatest common factor 3143,2232 is 1.
Lets's calculate LCM of 639,1875
| 3 | 639, 1875 |
| 213, 625 |
∴ So the LCM of the given numbers is 3 x 213 x 625 = 399375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399375
Therefore, the GCF of Fractions 3143/639,2232/1875 is 1/399375
Least Common Multiple of 639,1875 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 639,1875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,1875) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(639,1875) x common factors =3 x 1 = 3
LCM(639,1875) = ( 639 × 1875 ) / 3
LCM(639,1875) = 1198125 / 3
LCM(639,1875) = 399375
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3143/639, 2232/1875
1. What is the HCF of 3143,2232?
The HCF of 3143,2232 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 3143/639, 2232/1875?
Answer: GCF of Numerators as per given numbers 3143/639, 2232/1875 is
GCF of Numerators i.e. for 3143,2232 is 1
LCM of denominators i.e. for 639,1875 is 399375.
Thus, GCF of Fractions is 1/399375.Finally, GCF of Fractions for 3143/639, 2232/1875 is 1/399375.