Use our free GCF of Fractions Calculator tool to compute the GCF of 14/50, 203/70, 907/570 i.e 1/19950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/50, 203/70, 907/570.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/50,203/70,907/570
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 14/50,203/70,907/570, numerators are 14,203,907
Denominators are 50,70,570
The GCF of 14,203,907 is 1 .
LCM of 50,70,570 is 19950.
The greatest common factor of 14/50,203/70,907/570 = [GCF of 14,203,907]/[LCM of 50,70,570]= 1/19950
Therefore, the GCF of 14/50,203/70,907/570 is 1/19950.
To find the highest common factor of 14,203,907, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 203 are 1, 7, 29, 203
The factors of 907 are 1, 907
The HCF of 14,203,907 is 1.
Lets's calculate GCF of 14,203,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 203
:1,7,29,203
Now, list down the factors of 907
:1,907
Greatest Common Factor
We found the factors 14,203,907 . The biggest common factor number is the GCF number.
So the greatest common factor 14,203,907 is 1.
Lets's calculate LCM of 50,70,570
2 | 50, 70, 570 |
5 | 25, 35, 285 |
5, 7, 57 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 7 x 57 = 19950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19950
Therefore, the GCF of Fractions 14/50,203/70,907/570 is 1/19950
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 50,70,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,70,570) = 10
common factors(in case of two or more numbers have common factors) = 10
GCF(50,70,570) x common factors =10 x 10 = 100
LCM(50,70,570) = ( 50 × 70 × 570 ) / 100
LCM(50,70,570) = 1995000 / 100
LCM(50,70,570) = 19950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,203,907?
The HCF of 14,203,907 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 14/50, 203/70, 907/570?
Answer: GCF of Numerators as per given numbers 14/50, 203/70, 907/570 is
GCF of Numerators i.e. for 14,203,907 is 1
LCM of denominators i.e. for 50,70,570 is 19950.
Thus, GCF of Fractions is 1/19950.Finally, GCF of Fractions for 14/50, 203/70, 907/570 is 1/19950.