Use our free GCF of Fractions Calculator tool to compute the GCF of 70/222, 970/394, 300/333 i.e 10/131202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/222, 970/394, 300/333.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/222,970/394,300/333
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 70/222,970/394,300/333, numerators are 70,970,300
Denominators are 222,394,333
The GCF of 70,970,300 is 10 .
LCM of 222,394,333 is 131202.
The greatest common factor of 70/222,970/394,300/333 = [GCF of 70,970,300]/[LCM of 222,394,333]= 10/131202
Therefore, the GCF of 70/222,970/394,300/333 is 10/131202.
To find the highest common factor of 70,970,300, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The HCF of 70,970,300 is 10.
Lets's calculate GCF of 70,970,300
2 | 70, 970, 300 |
5 | 35, 485, 150 |
7, 97, 30 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 70,970,300 . The biggest common factor number is the GCF number.
So the greatest common factor 70,970,300 is 10.
Lets's calculate LCM of 222,394,333
2 | 222, 394, 333 |
3 | 111, 197, 333 |
37 | 37, 197, 111 |
1, 197, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 1 x 197 x 3 = 131202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/131202
Therefore, the GCF of Fractions 70/222,970/394,300/333 is 10/131202
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 222,394,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,394,333) = 1
common factors(in case of two or more numbers have common factors) = 222
GCF(222,394,333) x common factors =1 x 222 = 222
LCM(222,394,333) = ( 222 × 394 × 333 ) / 222
LCM(222,394,333) = 29126844 / 222
LCM(222,394,333) = 131202
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 70,970,300?
The HCF of 70,970,300 is 10
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 70/222, 970/394, 300/333?
Answer: GCF of Numerators as per given numbers 70/222, 970/394, 300/333 is
GCF of Numerators i.e. for 70,970,300 is 10
LCM of denominators i.e. for 222,394,333 is 131202.
Thus, GCF of Fractions is 10/131202.Finally, GCF of Fractions for 70/222, 970/394, 300/333 is 10/131202.