Use our free GCF of Fractions Calculator tool to compute the GCF of 94/33, 786/42, 290/210 i.e 2/2310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/33, 786/42, 290/210.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/33,786/42,290/210
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 94/33,786/42,290/210, numerators are 94,786,290
Denominators are 33,42,210
The GCF of 94,786,290 is 2 .
LCM of 33,42,210 is 2310.
The greatest common factor of 94/33,786/42,290/210 = [GCF of 94,786,290]/[LCM of 33,42,210]= 2/2310
Therefore, the GCF of 94/33,786/42,290/210 is 2/2310.
To find the highest common factor of 94,786,290, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 94,786,290 is 2.
Lets's calculate GCF of 94,786,290
2 | 94, 786, 290 |
47, 393, 145 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 94,786,290 . The biggest common factor number is the GCF number.
So the greatest common factor 94,786,290 is 2.
Lets's calculate LCM of 33,42,210
2 | 33, 42, 210 |
3 | 33, 21, 105 |
7 | 11, 7, 35 |
11, 1, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 1 x 5 = 2310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2310
Therefore, the GCF of Fractions 94/33,786/42,290/210 is 2/2310
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 33,42,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,42,210) = 3
common factors(in case of two or more numbers have common factors) = 42
GCF(33,42,210) x common factors =3 x 42 = 126
LCM(33,42,210) = ( 33 × 42 × 210 ) / 126
LCM(33,42,210) = 291060 / 126
LCM(33,42,210) = 2310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,786,290?
The HCF of 94,786,290 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 94/33, 786/42, 290/210?
Answer: GCF of Numerators as per given numbers 94/33, 786/42, 290/210 is
GCF of Numerators i.e. for 94,786,290 is 2
LCM of denominators i.e. for 33,42,210 is 2310.
Thus, GCF of Fractions is 2/2310.Finally, GCF of Fractions for 94/33, 786/42, 290/210 is 2/2310.