Use our free GCF of Fractions Calculator tool to compute the GCF of 600/666, 526/634 i.e 2/211122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 600/666, 526/634.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 600/666,526/634
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 600/666,526/634, numerators are 600,526
Denominators are 666,634
The GCF of 600,526 is 2 .
LCM of 666,634 is 211122.
The greatest common factor of 600/666,526/634 = [GCF of 600,526]/[LCM of 666,634]= 2/211122
Therefore, the GCF of 600/666,526/634 is 2/211122.
To find the highest common factor of 600,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
The factors of 526 are 1, 2, 263, 526
The HCF of 600,526 is 2.
Lets's calculate GCF of 600,526
2 | 600, 526 |
300, 263 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 600
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 600,526 . The biggest common factor number is the GCF number.
So the greatest common factor 600,526 is 2.
Lets's calculate LCM of 666,634
2 | 666, 634 |
333, 317 |
∴ So the LCM of the given numbers is 2 x 333 x 317 = 211122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/211122
Therefore, the GCF of Fractions 600/666,526/634 is 2/211122
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 666,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(666,634) x common factors =2 x 1 = 2
LCM(666,634) = ( 666 × 634 ) / 2
LCM(666,634) = 422244 / 2
LCM(666,634) = 211122
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 600,526?
The HCF of 600,526 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 600/666, 526/634?
Answer: GCF of Numerators as per given numbers 600/666, 526/634 is
GCF of Numerators i.e. for 600,526 is 2
LCM of denominators i.e. for 666,634 is 211122.
Thus, GCF of Fractions is 2/211122.Finally, GCF of Fractions for 600/666, 526/634 is 2/211122.