Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/764,57/894,127/497
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 29,57,127
Greatest Common Factor of Numerators i.e. GCF of 29,57,127 is 1 .
LCM of Denominators means LCM of 764,894,497 as per the given fractions.
LCM of 764,894,497 is 169729476 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,57,127
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Greatest Common Factor
We found the factors 29,57,127 . The biggest common factor number is the GCF number.
So the greatest common factor 29,57,127 is 1.
Lets's calculate LCM of 764,894,497
2 | 764, 894, 497 |
382, 447, 497 |
∴ So the LCM of the given numbers is 2 x 382 x 447 x 497 = 169729476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169729476
Therefore, the GCF of Fractions 29/764,57/894,127/497 is 1/169729476
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 764,894,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,894,497) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(764,894,497) x common factors =1 x 2 = 2
LCM(764,894,497) = ( 764 × 894 × 497 ) / 2
LCM(764,894,497) = 339458952 / 2
LCM(764,894,497) = 169729476
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 29/764, 57/894, 127/497?
Answer: GCF of Numerators as per given numbers 29/764, 57/894, 127/497 is
GCF of Numerators i.e. for 29,57,127 is 1
LCM of denominators i.e. for 764,894,497 is 169729476.
Thus, GCF of Fractions is 1/169729476.Finally, GCF of Fractions for 29/764, 57/894, 127/497 is 1/169729476.