Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 200/9088,846/7751
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 200,846
Greatest Common Factor of Numerators i.e. GCF of 200,846 is 2 .
LCM of Denominators means LCM of 9088,7751 as per the given fractions.
LCM of 9088,7751 is 70441088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 200,846
2 | 200, 846 |
100, 423 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 200,846 . The biggest common factor number is the GCF number.
So the greatest common factor 200,846 is 2.
Lets's calculate LCM of 9088,7751
Given numbers has no common factors except 1. So, there LCM is their product i.e 70441088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70441088
Therefore, the GCF of Fractions 200/9088,846/7751 is 2/70441088
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 9088,7751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9088,7751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9088,7751) x common factors =1 x 1 = 1
LCM(9088,7751) = ( 9088 × 7751 ) / 1
LCM(9088,7751) = 70441088 / 1
LCM(9088,7751) = 70441088
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 200/9088, 846/7751?
Answer: GCF of Numerators as per given numbers 200/9088, 846/7751 is
GCF of Numerators i.e. for 200,846 is 2
LCM of denominators i.e. for 9088,7751 is 70441088.
Thus, GCF of Fractions is 2/70441088.Finally, GCF of Fractions for 200/9088, 846/7751 is 2/70441088.