Use our free GCF of Fractions Calculator tool to compute the GCF of 842/90, 106/694 i.e 2/31230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/90, 106/694.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 842/90,106/694
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 842/90,106/694, numerators are 842,106
Denominators are 90,694
The GCF of 842,106 is 2 .
LCM of 90,694 is 31230.
The greatest common factor of 842/90,106/694 = [GCF of 842,106]/[LCM of 90,694]= 2/31230
Therefore, the GCF of 842/90,106/694 is 2/31230.
To find the highest common factor of 842,106, we have to find the factors of both numbers and list the highest common factor.
The factors of 842 are 1, 2, 421, 842
The factors of 106 are 1, 2, 53, 106
The HCF of 842,106 is 2.
Lets's calculate GCF of 842,106
2 | 842, 106 |
421, 53 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 106
:1,2,53,106
Greatest Common Factor
We found the factors 842,106 . The biggest common factor number is the GCF number.
So the greatest common factor 842,106 is 2.
Lets's calculate LCM of 90,694
2 | 90, 694 |
45, 347 |
∴ So the LCM of the given numbers is 2 x 45 x 347 = 31230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31230
Therefore, the GCF of Fractions 842/90,106/694 is 2/31230
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 90,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,694) x common factors =2 x 1 = 2
LCM(90,694) = ( 90 × 694 ) / 2
LCM(90,694) = 62460 / 2
LCM(90,694) = 31230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 842,106?
The HCF of 842,106 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 842/90, 106/694?
Answer: GCF of Numerators as per given numbers 842/90, 106/694 is
GCF of Numerators i.e. for 842,106 is 2
LCM of denominators i.e. for 90,694 is 31230.
Thus, GCF of Fractions is 2/31230.Finally, GCF of Fractions for 842/90, 106/694 is 2/31230.