Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8950/414,7073/295
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 8950,7073
Greatest Common Factor of Numerators i.e. GCF of 8950,7073 is 1 .
LCM of Denominators means LCM of 414,295 as per the given fractions.
LCM of 414,295 is 122130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8950,7073
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8950
List of positive integer factors of 8950 that divides 8950 without a remainder.
1,2,5,10,25,50,179,358,895,1790,4475,8950
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1,11,643,7073
Greatest Common Factor
We found the factors 8950,7073 . The biggest common factor number is the GCF number.
So the greatest common factor 8950,7073 is 1.
Lets's calculate LCM of 414,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 122130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122130
Therefore, the GCF of Fractions 8950/414,7073/295 is 1/122130
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 414,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,295) x common factors =1 x 1 = 1
LCM(414,295) = ( 414 × 295 ) / 1
LCM(414,295) = 122130 / 1
LCM(414,295) = 122130
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 8950/414, 7073/295?
Answer: GCF of Numerators as per given numbers 8950/414, 7073/295 is
GCF of Numerators i.e. for 8950,7073 is 1
LCM of denominators i.e. for 414,295 is 122130.
Thus, GCF of Fractions is 1/122130.Finally, GCF of Fractions for 8950/414, 7073/295 is 1/122130.