Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 416/775,942/626
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 416,942
Greatest Common Factor of Numerators i.e. GCF of 416,942 is 2 .
LCM of Denominators means LCM of 775,626 as per the given fractions.
LCM of 775,626 is 485150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 416,942
2 | 416, 942 |
208, 471 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 416,942 . The biggest common factor number is the GCF number.
So the greatest common factor 416,942 is 2.
Lets's calculate LCM of 775,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 485150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/485150
Therefore, the GCF of Fractions 416/775,942/626 is 2/485150
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 775,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,626) x common factors =1 x 1 = 1
LCM(775,626) = ( 775 × 626 ) / 1
LCM(775,626) = 485150 / 1
LCM(775,626) = 485150
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 416/775, 942/626?
Answer: GCF of Numerators as per given numbers 416/775, 942/626 is
GCF of Numerators i.e. for 416,942 is 2
LCM of denominators i.e. for 775,626 is 485150.
Thus, GCF of Fractions is 2/485150.Finally, GCF of Fractions for 416/775, 942/626 is 2/485150.