Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/693,423/654,147/780
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 718,423,147
Greatest Common Factor of Numerators i.e. GCF of 718,423,147 is 1 .
LCM of Denominators means LCM of 693,654,780 as per the given fractions.
LCM of 693,654,780 is 19639620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 718,423,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 718,423,147 . The biggest common factor number is the GCF number.
So the greatest common factor 718,423,147 is 1.
Lets's calculate LCM of 693,654,780
2 | 693, 654, 780 |
3 | 693, 327, 390 |
231, 109, 130 |
∴ So the LCM of the given numbers is 2 x 3 x 231 x 109 x 130 = 19639620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19639620
Therefore, the GCF of Fractions 718/693,423/654,147/780 is 1/19639620
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 693,654,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,654,780) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(693,654,780) x common factors =3 x 6 = 18
LCM(693,654,780) = ( 693 × 654 × 780 ) / 18
LCM(693,654,780) = 353513160 / 18
LCM(693,654,780) = 19639620
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 718/693, 423/654, 147/780?
Answer: GCF of Numerators as per given numbers 718/693, 423/654, 147/780 is
GCF of Numerators i.e. for 718,423,147 is 1
LCM of denominators i.e. for 693,654,780 is 19639620.
Thus, GCF of Fractions is 1/19639620.Finally, GCF of Fractions for 718/693, 423/654, 147/780 is 1/19639620.