Use our free GCF of Fractions Calculator tool to compute the GCF of 370/824, 858/786 i.e 2/323832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/824, 858/786.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/824,858/786
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 370/824,858/786, numerators are 370,858
Denominators are 824,786
The GCF of 370,858 is 2 .
LCM of 824,786 is 323832.
The greatest common factor of 370/824,858/786 = [GCF of 370,858]/[LCM of 824,786]= 2/323832
Therefore, the GCF of 370/824,858/786 is 2/323832.
To find the highest common factor of 370,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 370,858 is 2.
Lets's calculate GCF of 370,858
2 | 370, 858 |
185, 429 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 370,858 . The biggest common factor number is the GCF number.
So the greatest common factor 370,858 is 2.
Lets's calculate LCM of 824,786
2 | 824, 786 |
412, 393 |
∴ So the LCM of the given numbers is 2 x 412 x 393 = 323832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/323832
Therefore, the GCF of Fractions 370/824,858/786 is 2/323832
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 824,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,786) x common factors =2 x 1 = 2
LCM(824,786) = ( 824 × 786 ) / 2
LCM(824,786) = 647664 / 2
LCM(824,786) = 323832
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 370,858?
The HCF of 370,858 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 370/824, 858/786?
Answer: GCF of Numerators as per given numbers 370/824, 858/786 is
GCF of Numerators i.e. for 370,858 is 2
LCM of denominators i.e. for 824,786 is 323832.
Thus, GCF of Fractions is 2/323832.Finally, GCF of Fractions for 370/824, 858/786 is 2/323832.