GCF of 1866/862, 8560/1030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1866/862, 8560/1030 i.e 2/443930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1866/862, 8560/1030.
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 1866/862,8560/1030?
Given fractions are 1866/862,8560/1030
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 1866/862,8560/1030, numerators are 1866,8560
Denominators are 862,1030
The GCF of 1866,8560 is 2 .
LCM of 862,1030 is 443930.
The greatest common factor of 1866/862,8560/1030 = [GCF of 1866,8560]/[LCM of 862,1030]= 2/443930
Therefore, the GCF of 1866/862,8560/1030 is 2/443930.
To find the highest common factor of 1866,8560, we have to find the factors of both numbers and list the highest common factor.
The factors of 1866 are 1, 2, 3, 6, 311, 622, 933, 1866
The factors of 8560 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280, 8560
The HCF of 1866,8560 is 2.
Lets's calculate GCF of 1866,8560
| 2 | 1866, 8560 |
| 933, 4280 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1866,8560 By Matching Biggest Common Factor Method
Now, list down the factors of 1866
:1,2,3,6,311,622,933,1866
Now, list down the factors of 8560
:1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560
Greatest Common Factor
We found the factors 1866,8560 . The biggest common factor number is the GCF number.
So the greatest common factor 1866,8560 is 2.
Lets's calculate LCM of 862,1030
| 2 | 862, 1030 |
| 431, 515 |
∴ So the LCM of the given numbers is 2 x 431 x 515 = 443930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/443930
Therefore, the GCF of Fractions 1866/862,8560/1030 is 2/443930
Least Common Multiple of 862,1030 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 862,1030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,1030) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,1030) x common factors =2 x 1 = 2
LCM(862,1030) = ( 862 × 1030 ) / 2
LCM(862,1030) = 887860 / 2
LCM(862,1030) = 443930
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FAQs on GCF of Fractions of 1866/862, 8560/1030
1. What is the HCF of 1866,8560?
The HCF of 1866,8560 is 2
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 1866/862, 8560/1030?
Answer: GCF of Numerators as per given numbers 1866/862, 8560/1030 is
GCF of Numerators i.e. for 1866,8560 is 2
LCM of denominators i.e. for 862,1030 is 443930.
Thus, GCF of Fractions is 2/443930.Finally, GCF of Fractions for 1866/862, 8560/1030 is 2/443930.