Use our free GCF of Fractions Calculator tool to compute the GCF of 926/421, 986/632 i.e 2/266072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 926/421, 986/632.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 926/421,986/632
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 926/421,986/632, numerators are 926,986
Denominators are 421,632
The GCF of 926,986 is 2 .
LCM of 421,632 is 266072.
The greatest common factor of 926/421,986/632 = [GCF of 926,986]/[LCM of 421,632]= 2/266072
Therefore, the GCF of 926/421,986/632 is 2/266072.
To find the highest common factor of 926,986, we have to find the factors of both numbers and list the highest common factor.
The factors of 926 are 1, 2, 463, 926
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The HCF of 926,986 is 2.
Lets's calculate GCF of 926,986
2 | 926, 986 |
463, 493 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 926
:1,2,463,926
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 926,986 . The biggest common factor number is the GCF number.
So the greatest common factor 926,986 is 2.
Lets's calculate LCM of 421,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 266072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/266072
Therefore, the GCF of Fractions 926/421,986/632 is 2/266072
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 421,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,632) x common factors =1 x 1 = 1
LCM(421,632) = ( 421 × 632 ) / 1
LCM(421,632) = 266072 / 1
LCM(421,632) = 266072
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 926,986?
The HCF of 926,986 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 926/421, 986/632?
Answer: GCF of Numerators as per given numbers 926/421, 986/632 is
GCF of Numerators i.e. for 926,986 is 2
LCM of denominators i.e. for 421,632 is 266072.
Thus, GCF of Fractions is 2/266072.Finally, GCF of Fractions for 926/421, 986/632 is 2/266072.