Use our free GCF of Fractions Calculator tool to compute the GCF of 262/793, 432/891 i.e 2/706563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/793, 432/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 262/793,432/891
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 262/793,432/891, numerators are 262,432
Denominators are 793,891
The GCF of 262,432 is 2 .
LCM of 793,891 is 706563.
The greatest common factor of 262/793,432/891 = [GCF of 262,432]/[LCM of 793,891]= 2/706563
Therefore, the GCF of 262/793,432/891 is 2/706563.
To find the highest common factor of 262,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 262 are 1, 2, 131, 262
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 262,432 is 2.
Lets's calculate GCF of 262,432
2 | 262, 432 |
131, 216 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 262
:1,2,131,262
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 262,432 . The biggest common factor number is the GCF number.
So the greatest common factor 262,432 is 2.
Lets's calculate LCM of 793,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 706563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/706563
Therefore, the GCF of Fractions 262/793,432/891 is 2/706563
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 793,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,891) x common factors =1 x 1 = 1
LCM(793,891) = ( 793 × 891 ) / 1
LCM(793,891) = 706563 / 1
LCM(793,891) = 706563
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 262,432?
The HCF of 262,432 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 262/793, 432/891?
Answer: GCF of Numerators as per given numbers 262/793, 432/891 is
GCF of Numerators i.e. for 262,432 is 2
LCM of denominators i.e. for 793,891 is 706563.
Thus, GCF of Fractions is 2/706563.Finally, GCF of Fractions for 262/793, 432/891 is 2/706563.