Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/18,776/26,779/539
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 297,776,779
Greatest Common Factor of Numerators i.e. GCF of 297,776,779 is 1 .
LCM of Denominators means LCM of 18,26,539 as per the given fractions.
LCM of 18,26,539 is 126126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,776,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Greatest Common Factor
We found the factors 297,776,779 . The biggest common factor number is the GCF number.
So the greatest common factor 297,776,779 is 1.
Lets's calculate LCM of 18,26,539
2 | 18, 26, 539 |
9, 13, 539 |
∴ So the LCM of the given numbers is 2 x 9 x 13 x 539 = 126126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126126
Therefore, the GCF of Fractions 297/18,776/26,779/539 is 1/126126
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 18,26,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,26,539) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,26,539) x common factors =1 x 2 = 2
LCM(18,26,539) = ( 18 × 26 × 539 ) / 2
LCM(18,26,539) = 252252 / 2
LCM(18,26,539) = 126126
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 297/18, 776/26, 779/539?
Answer: GCF of Numerators as per given numbers 297/18, 776/26, 779/539 is
GCF of Numerators i.e. for 297,776,779 is 1
LCM of denominators i.e. for 18,26,539 is 126126.
Thus, GCF of Fractions is 1/126126.Finally, GCF of Fractions for 297/18, 776/26, 779/539 is 1/126126.