GCF of 1431/250, 8034/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1431/250, 8034/9782 i.e 3/1222750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1431/250, 8034/9782.
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 1431/250,8034/9782?
Given fractions are 1431/250,8034/9782
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 1431/250,8034/9782, numerators are 1431,8034
Denominators are 250,9782
The GCF of 1431,8034 is 3 .
LCM of 250,9782 is 1222750.
The greatest common factor of 1431/250,8034/9782 = [GCF of 1431,8034]/[LCM of 250,9782]= 3/1222750
Therefore, the GCF of 1431/250,8034/9782 is 3/1222750.
To find the highest common factor of 1431,8034, we have to find the factors of both numbers and list the highest common factor.
The factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431
The factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
The HCF of 1431,8034 is 3.
Lets's calculate GCF of 1431,8034
| 3 | 1431, 8034 |
| 477, 2678 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1431,8034 By Matching Biggest Common Factor Method
Now, list down the factors of 1431
:1,3,9,27,53,159,477,1431
Now, list down the factors of 8034
:1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Greatest Common Factor
We found the factors 1431,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 1431,8034 is 3.
Lets's calculate LCM of 250,9782
| 2 | 250, 9782 |
| 125, 4891 |
∴ So the LCM of the given numbers is 2 x 125 x 4891 = 1222750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1222750
Therefore, the GCF of Fractions 1431/250,8034/9782 is 3/1222750
Least Common Multiple of 250,9782 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 250,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,9782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,9782) x common factors =2 x 1 = 2
LCM(250,9782) = ( 250 × 9782 ) / 2
LCM(250,9782) = 2445500 / 2
LCM(250,9782) = 1222750
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FAQs on GCF of Fractions of 1431/250, 8034/9782
1. What is the HCF of 1431,8034?
The HCF of 1431,8034 is 3
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 1431/250, 8034/9782?
Answer: GCF of Numerators as per given numbers 1431/250, 8034/9782 is
GCF of Numerators i.e. for 1431,8034 is 3
LCM of denominators i.e. for 250,9782 is 1222750.
Thus, GCF of Fractions is 3/1222750.Finally, GCF of Fractions for 1431/250, 8034/9782 is 3/1222750.