Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/484,943/741,156/212
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 202,943,156
Greatest Common Factor of Numerators i.e. GCF of 202,943,156 is 1 .
LCM of Denominators means LCM of 484,741,212 as per the given fractions.
LCM of 484,741,212 is 19008132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 202,943,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 202,943,156 . The biggest common factor number is the GCF number.
So the greatest common factor 202,943,156 is 1.
Lets's calculate LCM of 484,741,212
2 | 484, 741, 212 |
2 | 242, 741, 106 |
121, 741, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 121 x 741 x 53 = 19008132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19008132
Therefore, the GCF of Fractions 202/484,943/741,156/212 is 1/19008132
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 484,741,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,741,212) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(484,741,212) x common factors =1 x 4 = 4
LCM(484,741,212) = ( 484 × 741 × 212 ) / 4
LCM(484,741,212) = 76032528 / 4
LCM(484,741,212) = 19008132
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 202/484, 943/741, 156/212?
Answer: GCF of Numerators as per given numbers 202/484, 943/741, 156/212 is
GCF of Numerators i.e. for 202,943,156 is 1
LCM of denominators i.e. for 484,741,212 is 19008132.
Thus, GCF of Fractions is 1/19008132.Finally, GCF of Fractions for 202/484, 943/741, 156/212 is 1/19008132.