Use our free GCF of Fractions Calculator tool to compute the GCF of 52/34, 693/47, 390/167 i.e 1/266866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/34, 693/47, 390/167.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/34,693/47,390/167
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 52/34,693/47,390/167, numerators are 52,693,390
Denominators are 34,47,167
The GCF of 52,693,390 is 1 .
LCM of 34,47,167 is 266866.
The greatest common factor of 52/34,693/47,390/167 = [GCF of 52,693,390]/[LCM of 34,47,167]= 1/266866
Therefore, the GCF of 52/34,693/47,390/167 is 1/266866.
To find the highest common factor of 52,693,390, we have to find the factors of both numbers and list the highest common factor.
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
The HCF of 52,693,390 is 1.
Lets's calculate GCF of 52,693,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 390
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 52,693,390 . The biggest common factor number is the GCF number.
So the greatest common factor 52,693,390 is 1.
Lets's calculate LCM of 34,47,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 266866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266866
Therefore, the GCF of Fractions 52/34,693/47,390/167 is 1/266866
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 34,47,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,47,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,47,167) x common factors =1 x 1 = 1
LCM(34,47,167) = ( 34 × 47 × 167 ) / 1
LCM(34,47,167) = 266866 / 1
LCM(34,47,167) = 266866
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 52,693,390?
The HCF of 52,693,390 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 52/34, 693/47, 390/167?
Answer: GCF of Numerators as per given numbers 52/34, 693/47, 390/167 is
GCF of Numerators i.e. for 52,693,390 is 1
LCM of denominators i.e. for 34,47,167 is 266866.
Thus, GCF of Fractions is 1/266866.Finally, GCF of Fractions for 52/34, 693/47, 390/167 is 1/266866.