Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8125/888,9114/563
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 8125,9114
Greatest Common Factor of Numerators i.e. GCF of 8125,9114 is 1 .
LCM of Denominators means LCM of 888,563 as per the given fractions.
LCM of 888,563 is 499944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8125,9114
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8125
List of positive integer factors of 8125 that divides 8125 without a remainder.
1,5,13,25,65,125,325,625,1625,8125
Factors of 9114
List of positive integer factors of 9114 that divides 9114 without a remainder.
1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114
Greatest Common Factor
We found the factors 8125,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 8125,9114 is 1.
Lets's calculate LCM of 888,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 499944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499944
Therefore, the GCF of Fractions 8125/888,9114/563 is 1/499944
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 888,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(888,563) x common factors =1 x 1 = 1
LCM(888,563) = ( 888 × 563 ) / 1
LCM(888,563) = 499944 / 1
LCM(888,563) = 499944
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 8125/888, 9114/563?
Answer: GCF of Numerators as per given numbers 8125/888, 9114/563 is
GCF of Numerators i.e. for 8125,9114 is 1
LCM of denominators i.e. for 888,563 is 499944.
Thus, GCF of Fractions is 1/499944.Finally, GCF of Fractions for 8125/888, 9114/563 is 1/499944.