Use our free GCF of Fractions Calculator tool to compute the GCF of 34/47, 953/27, 202/303 i.e 1/128169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/47, 953/27, 202/303.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/47,953/27,202/303
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 34/47,953/27,202/303, numerators are 34,953,202
Denominators are 47,27,303
The GCF of 34,953,202 is 1 .
LCM of 47,27,303 is 128169.
The greatest common factor of 34/47,953/27,202/303 = [GCF of 34,953,202]/[LCM of 47,27,303]= 1/128169
Therefore, the GCF of 34/47,953/27,202/303 is 1/128169.
To find the highest common factor of 34,953,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 953 are 1, 953
The factors of 202 are 1, 2, 101, 202
The HCF of 34,953,202 is 1.
Lets's calculate GCF of 34,953,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 953
:1,953
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 34,953,202 . The biggest common factor number is the GCF number.
So the greatest common factor 34,953,202 is 1.
Lets's calculate LCM of 47,27,303
3 | 47, 27, 303 |
47, 9, 101 |
∴ So the LCM of the given numbers is 3 x 47 x 9 x 101 = 128169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128169
Therefore, the GCF of Fractions 34/47,953/27,202/303 is 1/128169
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 47,27,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,27,303) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(47,27,303) x common factors =1 x 3 = 3
LCM(47,27,303) = ( 47 × 27 × 303 ) / 3
LCM(47,27,303) = 384507 / 3
LCM(47,27,303) = 128169
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,953,202?
The HCF of 34,953,202 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 34/47, 953/27, 202/303?
Answer: GCF of Numerators as per given numbers 34/47, 953/27, 202/303 is
GCF of Numerators i.e. for 34,953,202 is 1
LCM of denominators i.e. for 47,27,303 is 128169.
Thus, GCF of Fractions is 1/128169.Finally, GCF of Fractions for 34/47, 953/27, 202/303 is 1/128169.