Use our free GCF of Fractions Calculator tool to compute the GCF of 962/858, 219/345 i.e 1/98670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/858, 219/345.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/858,219/345
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 962/858,219/345, numerators are 962,219
Denominators are 858,345
The GCF of 962,219 is 1 .
LCM of 858,345 is 98670.
The greatest common factor of 962/858,219/345 = [GCF of 962,219]/[LCM of 858,345]= 1/98670
Therefore, the GCF of 962/858,219/345 is 1/98670.
To find the highest common factor of 962,219, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 219 are 1, 3, 73, 219
The HCF of 962,219 is 1.
Lets's calculate GCF of 962,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 219
:1,3,73,219
Greatest Common Factor
We found the factors 962,219 . The biggest common factor number is the GCF number.
So the greatest common factor 962,219 is 1.
Lets's calculate LCM of 858,345
3 | 858, 345 |
286, 115 |
∴ So the LCM of the given numbers is 3 x 286 x 115 = 98670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98670
Therefore, the GCF of Fractions 962/858,219/345 is 1/98670
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 858,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,345) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(858,345) x common factors =3 x 1 = 3
LCM(858,345) = ( 858 × 345 ) / 3
LCM(858,345) = 296010 / 3
LCM(858,345) = 98670
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 962,219?
The HCF of 962,219 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 962/858, 219/345?
Answer: GCF of Numerators as per given numbers 962/858, 219/345 is
GCF of Numerators i.e. for 962,219 is 1
LCM of denominators i.e. for 858,345 is 98670.
Thus, GCF of Fractions is 1/98670.Finally, GCF of Fractions for 962/858, 219/345 is 1/98670.