Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/566,787/138,631/503
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 790,787,631
Greatest Common Factor of Numerators i.e. GCF of 790,787,631 is 1 .
LCM of Denominators means LCM of 566,138,503 as per the given fractions.
LCM of 566,138,503 is 19644162 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 790,787,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 790,787,631 . The biggest common factor number is the GCF number.
So the greatest common factor 790,787,631 is 1.
Lets's calculate LCM of 566,138,503
2 | 566, 138, 503 |
283, 69, 503 |
∴ So the LCM of the given numbers is 2 x 283 x 69 x 503 = 19644162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19644162
Therefore, the GCF of Fractions 790/566,787/138,631/503 is 1/19644162
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 566,138,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,138,503) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(566,138,503) x common factors =1 x 2 = 2
LCM(566,138,503) = ( 566 × 138 × 503 ) / 2
LCM(566,138,503) = 39288324 / 2
LCM(566,138,503) = 19644162
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 790/566, 787/138, 631/503?
Answer: GCF of Numerators as per given numbers 790/566, 787/138, 631/503 is
GCF of Numerators i.e. for 790,787,631 is 1
LCM of denominators i.e. for 566,138,503 is 19644162.
Thus, GCF of Fractions is 1/19644162.Finally, GCF of Fractions for 790/566, 787/138, 631/503 is 1/19644162.