Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8857/29,1572/977
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 8857,1572
Greatest Common Factor of Numerators i.e. GCF of 8857,1572 is 1 .
LCM of Denominators means LCM of 29,977 as per the given fractions.
LCM of 29,977 is 28333 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8857,1572
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8857
List of positive integer factors of 8857 that divides 8857 without a remainder.
1,17,521,8857
Factors of 1572
List of positive integer factors of 1572 that divides 1572 without a remainder.
1,2,3,4,6,12,131,262,393,524,786,1572
Greatest Common Factor
We found the factors 8857,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 8857,1572 is 1.
Lets's calculate LCM of 29,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 28333
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28333
Therefore, the GCF of Fractions 8857/29,1572/977 is 1/28333
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 29,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,977) x common factors =1 x 1 = 1
LCM(29,977) = ( 29 × 977 ) / 1
LCM(29,977) = 28333 / 1
LCM(29,977) = 28333
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 8857/29, 1572/977?
Answer: GCF of Numerators as per given numbers 8857/29, 1572/977 is
GCF of Numerators i.e. for 8857,1572 is 1
LCM of denominators i.e. for 29,977 is 28333.
Thus, GCF of Fractions is 1/28333.Finally, GCF of Fractions for 8857/29, 1572/977 is 1/28333.