Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8778/881,1906/400
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 8778,1906
Greatest Common Factor of Numerators i.e. GCF of 8778,1906 is 2 .
LCM of Denominators means LCM of 881,400 as per the given fractions.
LCM of 881,400 is 352400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8778,1906
2 | 8778, 1906 |
4389, 953 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8778
List of positive integer factors of 8778 that divides 8778 without a remainder.
1,2,3,6,7,11,14,19,21,22,33,38,42,57,66,77,114,133,154,209,231,266,399,418,462,627,798,1254,1463,2926,4389,8778
Factors of 1906
List of positive integer factors of 1906 that divides 1906 without a remainder.
1,2,953,1906
Greatest Common Factor
We found the factors 8778,1906 . The biggest common factor number is the GCF number.
So the greatest common factor 8778,1906 is 2.
Lets's calculate LCM of 881,400
Given numbers has no common factors except 1. So, there LCM is their product i.e 352400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/352400
Therefore, the GCF of Fractions 8778/881,1906/400 is 2/352400
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 881,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,400) x common factors =1 x 1 = 1
LCM(881,400) = ( 881 × 400 ) / 1
LCM(881,400) = 352400 / 1
LCM(881,400) = 352400
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 8778/881, 1906/400?
Answer: GCF of Numerators as per given numbers 8778/881, 1906/400 is
GCF of Numerators i.e. for 8778,1906 is 2
LCM of denominators i.e. for 881,400 is 352400.
Thus, GCF of Fractions is 2/352400.Finally, GCF of Fractions for 8778/881, 1906/400 is 2/352400.