Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 400/66,7023/346
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 400,7023
Greatest Common Factor of Numerators i.e. GCF of 400,7023 is 1 .
LCM of Denominators means LCM of 66,346 as per the given fractions.
LCM of 66,346 is 11418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 400,7023
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 7023
List of positive integer factors of 7023 that divides 7023 without a remainder.
1,3,2341,7023
Greatest Common Factor
We found the factors 400,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 400,7023 is 1.
Lets's calculate LCM of 66,346
2 | 66, 346 |
33, 173 |
∴ So the LCM of the given numbers is 2 x 33 x 173 = 11418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11418
Therefore, the GCF of Fractions 400/66,7023/346 is 1/11418
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 66,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,346) x common factors =2 x 1 = 2
LCM(66,346) = ( 66 × 346 ) / 2
LCM(66,346) = 22836 / 2
LCM(66,346) = 11418
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 400/66, 7023/346?
Answer: GCF of Numerators as per given numbers 400/66, 7023/346 is
GCF of Numerators i.e. for 400,7023 is 1
LCM of denominators i.e. for 66,346 is 11418.
Thus, GCF of Fractions is 1/11418.Finally, GCF of Fractions for 400/66, 7023/346 is 1/11418.