Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/354,209/163,156/188
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 21,209,156
Greatest Common Factor of Numerators i.e. GCF of 21,209,156 is 1 .
LCM of Denominators means LCM of 354,163,188 as per the given fractions.
LCM of 354,163,188 is 5423988 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,209,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
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 21,209,156 . The biggest common factor number is the GCF number.
So the greatest common factor 21,209,156 is 1.
Lets's calculate LCM of 354,163,188
2 | 354, 163, 188 |
177, 163, 94 |
∴ So the LCM of the given numbers is 2 x 177 x 163 x 94 = 5423988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5423988
Therefore, the GCF of Fractions 21/354,209/163,156/188 is 1/5423988
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 354,163,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,163,188) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(354,163,188) x common factors =1 x 2 = 2
LCM(354,163,188) = ( 354 × 163 × 188 ) / 2
LCM(354,163,188) = 10847976 / 2
LCM(354,163,188) = 5423988
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 21/354, 209/163, 156/188?
Answer: GCF of Numerators as per given numbers 21/354, 209/163, 156/188 is
GCF of Numerators i.e. for 21,209,156 is 1
LCM of denominators i.e. for 354,163,188 is 5423988.
Thus, GCF of Fractions is 1/5423988.Finally, GCF of Fractions for 21/354, 209/163, 156/188 is 1/5423988.