Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6667/812,5650/229
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 6667,5650
Greatest Common Factor of Numerators i.e. GCF of 6667,5650 is 113 .
LCM of Denominators means LCM of 812,229 as per the given fractions.
LCM of 812,229 is 185948 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6667,5650
113 | 6667, 5650 |
59, 50 |
∴ So the GCF of the given numbers is 113 = 113
Factors of 6667
List of positive integer factors of 6667 that divides 6667 without a remainder.
1,59,113,6667
Factors of 5650
List of positive integer factors of 5650 that divides 5650 without a remainder.
1,2,5,10,25,50,113,226,565,1130,2825,5650
Greatest Common Factor
We found the factors 6667,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 6667,5650 is 113.
Lets's calculate LCM of 812,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 185948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/185948
Therefore, the GCF of Fractions 6667/812,5650/229 is 113/185948
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 812,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,229) x common factors =1 x 1 = 1
LCM(812,229) = ( 812 × 229 ) / 1
LCM(812,229) = 185948 / 1
LCM(812,229) = 185948
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 6667/812, 5650/229?
Answer: GCF of Numerators as per given numbers 6667/812, 5650/229 is
GCF of Numerators i.e. for 6667,5650 is 113
LCM of denominators i.e. for 812,229 is 185948.
Thus, GCF of Fractions is 113/185948.Finally, GCF of Fractions for 6667/812, 5650/229 is 113/185948.