Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 894/63,261/78,478/601
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 894,261,478
Greatest Common Factor of Numerators i.e. GCF of 894,261,478 is 1 .
LCM of Denominators means LCM of 63,78,601 as per the given fractions.
LCM of 63,78,601 is 984438 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 894,261,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 894,261,478 . The biggest common factor number is the GCF number.
So the greatest common factor 894,261,478 is 1.
Lets's calculate LCM of 63,78,601
3 | 63, 78, 601 |
21, 26, 601 |
∴ So the LCM of the given numbers is 3 x 21 x 26 x 601 = 984438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/984438
Therefore, the GCF of Fractions 894/63,261/78,478/601 is 1/984438
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 63,78,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,78,601) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(63,78,601) x common factors =1 x 3 = 3
LCM(63,78,601) = ( 63 × 78 × 601 ) / 3
LCM(63,78,601) = 2953314 / 3
LCM(63,78,601) = 984438
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 894/63, 261/78, 478/601?
Answer: GCF of Numerators as per given numbers 894/63, 261/78, 478/601 is
GCF of Numerators i.e. for 894,261,478 is 1
LCM of denominators i.e. for 63,78,601 is 984438.
Thus, GCF of Fractions is 1/984438.Finally, GCF of Fractions for 894/63, 261/78, 478/601 is 1/984438.