Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/548,95/539,412/834
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 31,95,412
Greatest Common Factor of Numerators i.e. GCF of 31,95,412 is 1 .
LCM of Denominators means LCM of 548,539,834 as per the given fractions.
LCM of 548,539,834 is 123170124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 31,95,412
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 31,95,412 . The biggest common factor number is the GCF number.
So the greatest common factor 31,95,412 is 1.
Lets's calculate LCM of 548,539,834
2 | 548, 539, 834 |
274, 539, 417 |
∴ So the LCM of the given numbers is 2 x 274 x 539 x 417 = 123170124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123170124
Therefore, the GCF of Fractions 31/548,95/539,412/834 is 1/123170124
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 548,539,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,539,834) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(548,539,834) x common factors =1 x 2 = 2
LCM(548,539,834) = ( 548 × 539 × 834 ) / 2
LCM(548,539,834) = 246340248 / 2
LCM(548,539,834) = 123170124
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 31/548, 95/539, 412/834?
Answer: GCF of Numerators as per given numbers 31/548, 95/539, 412/834 is
GCF of Numerators i.e. for 31,95,412 is 1
LCM of denominators i.e. for 548,539,834 is 123170124.
Thus, GCF of Fractions is 1/123170124.Finally, GCF of Fractions for 31/548, 95/539, 412/834 is 1/123170124.