Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1423/821,8594/416
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 1423,8594
Greatest Common Factor of Numerators i.e. GCF of 1423,8594 is 1 .
LCM of Denominators means LCM of 821,416 as per the given fractions.
LCM of 821,416 is 341536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1423,8594
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1423
List of positive integer factors of 1423 that divides 1423 without a remainder.
1,1423
Factors of 8594
List of positive integer factors of 8594 that divides 8594 without a remainder.
1,2,4297,8594
Greatest Common Factor
We found the factors 1423,8594 . The biggest common factor number is the GCF number.
So the greatest common factor 1423,8594 is 1.
Lets's calculate LCM of 821,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 341536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/341536
Therefore, the GCF of Fractions 1423/821,8594/416 is 1/341536
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 821,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,416) x common factors =1 x 1 = 1
LCM(821,416) = ( 821 × 416 ) / 1
LCM(821,416) = 341536 / 1
LCM(821,416) = 341536
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 1423/821, 8594/416?
Answer: GCF of Numerators as per given numbers 1423/821, 8594/416 is
GCF of Numerators i.e. for 1423,8594 is 1
LCM of denominators i.e. for 821,416 is 341536.
Thus, GCF of Fractions is 1/341536.Finally, GCF of Fractions for 1423/821, 8594/416 is 1/341536.