Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 542/49,177/54,839/267
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 542,177,839
Greatest Common Factor of Numerators i.e. GCF of 542,177,839 is 1 .
LCM of Denominators means LCM of 49,54,267 as per the given fractions.
LCM of 49,54,267 is 235494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 542,177,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Greatest Common Factor
We found the factors 542,177,839 . The biggest common factor number is the GCF number.
So the greatest common factor 542,177,839 is 1.
Lets's calculate LCM of 49,54,267
3 | 49, 54, 267 |
49, 18, 89 |
∴ So the LCM of the given numbers is 3 x 49 x 18 x 89 = 235494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235494
Therefore, the GCF of Fractions 542/49,177/54,839/267 is 1/235494
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 49,54,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,54,267) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(49,54,267) x common factors =1 x 3 = 3
LCM(49,54,267) = ( 49 × 54 × 267 ) / 3
LCM(49,54,267) = 706482 / 3
LCM(49,54,267) = 235494
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 542/49, 177/54, 839/267?
Answer: GCF of Numerators as per given numbers 542/49, 177/54, 839/267 is
GCF of Numerators i.e. for 542,177,839 is 1
LCM of denominators i.e. for 49,54,267 is 235494.
Thus, GCF of Fractions is 1/235494.Finally, GCF of Fractions for 542/49, 177/54, 839/267 is 1/235494.