Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/92,678/14,265/611
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 18,678,265
Greatest Common Factor of Numerators i.e. GCF of 18,678,265 is 1 .
LCM of Denominators means LCM of 92,14,611 as per the given fractions.
LCM of 92,14,611 is 393484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,678,265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Greatest Common Factor
We found the factors 18,678,265 . The biggest common factor number is the GCF number.
So the greatest common factor 18,678,265 is 1.
Lets's calculate LCM of 92,14,611
2 | 92, 14, 611 |
46, 7, 611 |
∴ So the LCM of the given numbers is 2 x 46 x 7 x 611 = 393484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393484
Therefore, the GCF of Fractions 18/92,678/14,265/611 is 1/393484
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 92,14,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,14,611) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(92,14,611) x common factors =1 x 2 = 2
LCM(92,14,611) = ( 92 × 14 × 611 ) / 2
LCM(92,14,611) = 786968 / 2
LCM(92,14,611) = 393484
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 18/92, 678/14, 265/611?
Answer: GCF of Numerators as per given numbers 18/92, 678/14, 265/611 is
GCF of Numerators i.e. for 18,678,265 is 1
LCM of denominators i.e. for 92,14,611 is 393484.
Thus, GCF of Fractions is 1/393484.Finally, GCF of Fractions for 18/92, 678/14, 265/611 is 1/393484.