GCF of 412/894, 927/872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 412/894, 927/872 i.e 103/389784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 412/894, 927/872.
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 412/894,927/872?
Given fractions are 412/894,927/872
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 412/894,927/872, numerators are 412,927
Denominators are 894,872
The GCF of 412,927 is 103 .
LCM of 894,872 is 389784.
The greatest common factor of 412/894,927/872 = [GCF of 412,927]/[LCM of 894,872]= 103/389784
Therefore, the GCF of 412/894,927/872 is 103/389784.
To find the highest common factor of 412,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 412 are 1, 2, 4, 103, 206, 412
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 412,927 is 103.
Lets's calculate GCF of 412,927
| 103 | 412, 927 |
| 4, 9 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 412,927 By Matching Biggest Common Factor Method
Now, list down the factors of 412
:1,2,4,103,206,412
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 412,927 . The biggest common factor number is the GCF number.
So the greatest common factor 412,927 is 103.
Lets's calculate LCM of 894,872
| 2 | 894, 872 |
| 447, 436 |
∴ So the LCM of the given numbers is 2 x 447 x 436 = 389784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/389784
Therefore, the GCF of Fractions 412/894,927/872 is 103/389784
Least Common Multiple of 894,872 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 894,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,872) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,872) x common factors =2 x 1 = 2
LCM(894,872) = ( 894 × 872 ) / 2
LCM(894,872) = 779568 / 2
LCM(894,872) = 389784
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FAQs on GCF of Fractions of 412/894, 927/872
1. What is the HCF of 412,927?
The HCF of 412,927 is 103
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 412/894, 927/872?
Answer: GCF of Numerators as per given numbers 412/894, 927/872 is
GCF of Numerators i.e. for 412,927 is 103
LCM of denominators i.e. for 894,872 is 389784.
Thus, GCF of Fractions is 103/389784.Finally, GCF of Fractions for 412/894, 927/872 is 103/389784.