Use our free GCF of Fractions Calculator tool to compute the GCF of 636/750, 926/226 i.e 2/84750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 636/750, 926/226.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 636/750,926/226
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 636/750,926/226, numerators are 636,926
Denominators are 750,226
The GCF of 636,926 is 2 .
LCM of 750,226 is 84750.
The greatest common factor of 636/750,926/226 = [GCF of 636,926]/[LCM of 750,226]= 2/84750
Therefore, the GCF of 636/750,926/226 is 2/84750.
To find the highest common factor of 636,926, we have to find the factors of both numbers and list the highest common factor.
The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The factors of 926 are 1, 2, 463, 926
The HCF of 636,926 is 2.
Lets's calculate GCF of 636,926
2 | 636, 926 |
318, 463 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Now, list down the factors of 926
:1,2,463,926
Greatest Common Factor
We found the factors 636,926 . The biggest common factor number is the GCF number.
So the greatest common factor 636,926 is 2.
Lets's calculate LCM of 750,226
2 | 750, 226 |
375, 113 |
∴ So the LCM of the given numbers is 2 x 375 x 113 = 84750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84750
Therefore, the GCF of Fractions 636/750,926/226 is 2/84750
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 750,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,226) x common factors =2 x 1 = 2
LCM(750,226) = ( 750 × 226 ) / 2
LCM(750,226) = 169500 / 2
LCM(750,226) = 84750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 636,926?
The HCF of 636,926 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 636/750, 926/226?
Answer: GCF of Numerators as per given numbers 636/750, 926/226 is
GCF of Numerators i.e. for 636,926 is 2
LCM of denominators i.e. for 750,226 is 84750.
Thus, GCF of Fractions is 2/84750.Finally, GCF of Fractions for 636/750, 926/226 is 2/84750.