Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 885/29,554/85,436/822
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 885,554,436
Greatest Common Factor of Numerators i.e. GCF of 885,554,436 is 1 .
LCM of Denominators means LCM of 29,85,822 as per the given fractions.
LCM of 29,85,822 is 2026230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 885,554,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 885,554,436 . The biggest common factor number is the GCF number.
So the greatest common factor 885,554,436 is 1.
Lets's calculate LCM of 29,85,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 2026230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2026230
Therefore, the GCF of Fractions 885/29,554/85,436/822 is 1/2026230
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 29,85,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,85,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,85,822) x common factors =1 x 1 = 1
LCM(29,85,822) = ( 29 × 85 × 822 ) / 1
LCM(29,85,822) = 2026230 / 1
LCM(29,85,822) = 2026230
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 885/29, 554/85, 436/822?
Answer: GCF of Numerators as per given numbers 885/29, 554/85, 436/822 is
GCF of Numerators i.e. for 885,554,436 is 1
LCM of denominators i.e. for 29,85,822 is 2026230.
Thus, GCF of Fractions is 1/2026230.Finally, GCF of Fractions for 885/29, 554/85, 436/822 is 1/2026230.