Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/47,286/61,255/776
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 626,286,255
Greatest Common Factor of Numerators i.e. GCF of 626,286,255 is 1 .
LCM of Denominators means LCM of 47,61,776 as per the given fractions.
LCM of 47,61,776 is 2224792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 626,286,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 626,286,255 . The biggest common factor number is the GCF number.
So the greatest common factor 626,286,255 is 1.
Lets's calculate LCM of 47,61,776
Given numbers has no common factors except 1. So, there LCM is their product i.e 2224792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2224792
Therefore, the GCF of Fractions 626/47,286/61,255/776 is 1/2224792
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 47,61,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,61,776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,61,776) x common factors =1 x 1 = 1
LCM(47,61,776) = ( 47 × 61 × 776 ) / 1
LCM(47,61,776) = 2224792 / 1
LCM(47,61,776) = 2224792
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 626/47, 286/61, 255/776?
Answer: GCF of Numerators as per given numbers 626/47, 286/61, 255/776 is
GCF of Numerators i.e. for 626,286,255 is 1
LCM of denominators i.e. for 47,61,776 is 2224792.
Thus, GCF of Fractions is 1/2224792.Finally, GCF of Fractions for 626/47, 286/61, 255/776 is 1/2224792.