Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 992/31,475/78,169/969
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 992,475,169
Greatest Common Factor of Numerators i.e. GCF of 992,475,169 is 1 .
LCM of Denominators means LCM of 31,78,969 as per the given fractions.
LCM of 31,78,969 is 781014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 992,475,169
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Greatest Common Factor
We found the factors 992,475,169 . The biggest common factor number is the GCF number.
So the greatest common factor 992,475,169 is 1.
Lets's calculate LCM of 31,78,969
3 | 31, 78, 969 |
31, 26, 323 |
∴ So the LCM of the given numbers is 3 x 31 x 26 x 323 = 781014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/781014
Therefore, the GCF of Fractions 992/31,475/78,169/969 is 1/781014
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 31,78,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,78,969) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(31,78,969) x common factors =1 x 3 = 3
LCM(31,78,969) = ( 31 × 78 × 969 ) / 3
LCM(31,78,969) = 2343042 / 3
LCM(31,78,969) = 781014
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 992/31, 475/78, 169/969?
Answer: GCF of Numerators as per given numbers 992/31, 475/78, 169/969 is
GCF of Numerators i.e. for 992,475,169 is 1
LCM of denominators i.e. for 31,78,969 is 781014.
Thus, GCF of Fractions is 1/781014.Finally, GCF of Fractions for 992/31, 475/78, 169/969 is 1/781014.