Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 864/903,992/734
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 864,992
Greatest Common Factor of Numerators i.e. GCF of 864,992 is 32 .
LCM of Denominators means LCM of 903,734 as per the given fractions.
LCM of 903,734 is 662802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 864,992
2 | 864, 992 |
2 | 432, 496 |
2 | 216, 248 |
2 | 108, 124 |
2 | 54, 62 |
27, 31 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 864,992 . The biggest common factor number is the GCF number.
So the greatest common factor 864,992 is 32.
Lets's calculate LCM of 903,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 662802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/662802
Therefore, the GCF of Fractions 864/903,992/734 is 32/662802
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 903,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,734) x common factors =1 x 1 = 1
LCM(903,734) = ( 903 × 734 ) / 1
LCM(903,734) = 662802 / 1
LCM(903,734) = 662802
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 864/903, 992/734?
Answer: GCF of Numerators as per given numbers 864/903, 992/734 is
GCF of Numerators i.e. for 864,992 is 32
LCM of denominators i.e. for 903,734 is 662802.
Thus, GCF of Fractions is 32/662802.Finally, GCF of Fractions for 864/903, 992/734 is 32/662802.