Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 644/901,367/358,386/854
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 644,367,386
Greatest Common Factor of Numerators i.e. GCF of 644,367,386 is 1 .
LCM of Denominators means LCM of 901,358,854 as per the given fractions.
LCM of 901,358,854 is 137732266 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 644,367,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 644,367,386 . The biggest common factor number is the GCF number.
So the greatest common factor 644,367,386 is 1.
Lets's calculate LCM of 901,358,854
2 | 901, 358, 854 |
901, 179, 427 |
∴ So the LCM of the given numbers is 2 x 901 x 179 x 427 = 137732266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137732266
Therefore, the GCF of Fractions 644/901,367/358,386/854 is 1/137732266
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 901,358,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,358,854) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(901,358,854) x common factors =1 x 2 = 2
LCM(901,358,854) = ( 901 × 358 × 854 ) / 2
LCM(901,358,854) = 275464532 / 2
LCM(901,358,854) = 137732266
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 644/901, 367/358, 386/854?
Answer: GCF of Numerators as per given numbers 644/901, 367/358, 386/854 is
GCF of Numerators i.e. for 644,367,386 is 1
LCM of denominators i.e. for 901,358,854 is 137732266.
Thus, GCF of Fractions is 1/137732266.Finally, GCF of Fractions for 644/901, 367/358, 386/854 is 1/137732266.