Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 787/229,780/822
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 787,780
Greatest Common Factor of Numerators i.e. GCF of 787,780 is 1 .
LCM of Denominators means LCM of 229,822 as per the given fractions.
LCM of 229,822 is 188238 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 787,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 787,780 . The biggest common factor number is the GCF number.
So the greatest common factor 787,780 is 1.
Lets's calculate LCM of 229,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 188238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188238
Therefore, the GCF of Fractions 787/229,780/822 is 1/188238
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 229,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,822) x common factors =1 x 1 = 1
LCM(229,822) = ( 229 × 822 ) / 1
LCM(229,822) = 188238 / 1
LCM(229,822) = 188238
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 787/229, 780/822?
Answer: GCF of Numerators as per given numbers 787/229, 780/822 is
GCF of Numerators i.e. for 787,780 is 1
LCM of denominators i.e. for 229,822 is 188238.
Thus, GCF of Fractions is 1/188238.Finally, GCF of Fractions for 787/229, 780/822 is 1/188238.