Use our free GCF of Fractions Calculator tool to compute the GCF of 595/697, 220/394 i.e 5/274618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/697, 220/394.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/697,220/394
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 595/697,220/394, numerators are 595,220
Denominators are 697,394
The GCF of 595,220 is 5 .
LCM of 697,394 is 274618.
The greatest common factor of 595/697,220/394 = [GCF of 595,220]/[LCM of 697,394]= 5/274618
Therefore, the GCF of 595/697,220/394 is 5/274618.
To find the highest common factor of 595,220, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 595,220 is 5.
Lets's calculate GCF of 595,220
5 | 595, 220 |
119, 44 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 595,220 . The biggest common factor number is the GCF number.
So the greatest common factor 595,220 is 5.
Lets's calculate LCM of 697,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 274618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/274618
Therefore, the GCF of Fractions 595/697,220/394 is 5/274618
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 697,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,394) x common factors =1 x 1 = 1
LCM(697,394) = ( 697 × 394 ) / 1
LCM(697,394) = 274618 / 1
LCM(697,394) = 274618
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 595,220?
The HCF of 595,220 is 5
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 595/697, 220/394?
Answer: GCF of Numerators as per given numbers 595/697, 220/394 is
GCF of Numerators i.e. for 595,220 is 5
LCM of denominators i.e. for 697,394 is 274618.
Thus, GCF of Fractions is 5/274618.Finally, GCF of Fractions for 595/697, 220/394 is 5/274618.