Use our free GCF of Fractions Calculator tool to compute the GCF of 770/72, 598/563 i.e 2/40536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/72, 598/563.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/72,598/563
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 770/72,598/563, numerators are 770,598
Denominators are 72,563
The GCF of 770,598 is 2 .
LCM of 72,563 is 40536.
The greatest common factor of 770/72,598/563 = [GCF of 770,598]/[LCM of 72,563]= 2/40536
Therefore, the GCF of 770/72,598/563 is 2/40536.
To find the highest common factor of 770,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 770,598 is 2.
Lets's calculate GCF of 770,598
2 | 770, 598 |
385, 299 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 770,598 . The biggest common factor number is the GCF number.
So the greatest common factor 770,598 is 2.
Lets's calculate LCM of 72,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 40536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40536
Therefore, the GCF of Fractions 770/72,598/563 is 2/40536
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 72,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,563) x common factors =1 x 1 = 1
LCM(72,563) = ( 72 × 563 ) / 1
LCM(72,563) = 40536 / 1
LCM(72,563) = 40536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 770,598?
The HCF of 770,598 is 2
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 770/72, 598/563?
Answer: GCF of Numerators as per given numbers 770/72, 598/563 is
GCF of Numerators i.e. for 770,598 is 2
LCM of denominators i.e. for 72,563 is 40536.
Thus, GCF of Fractions is 2/40536.Finally, GCF of Fractions for 770/72, 598/563 is 2/40536.