Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/868,557/873,988/611
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 424,557,988
Greatest Common Factor of Numerators i.e. GCF of 424,557,988 is 1 .
LCM of Denominators means LCM of 868,873,611 as per the given fractions.
LCM of 868,873,611 is 462993804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,557,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 424,557,988 . The biggest common factor number is the GCF number.
So the greatest common factor 424,557,988 is 1.
Lets's calculate LCM of 868,873,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 462993804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462993804
Therefore, the GCF of Fractions 424/868,557/873,988/611 is 1/462993804
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 868,873,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,873,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,873,611) x common factors =1 x 1 = 1
LCM(868,873,611) = ( 868 × 873 × 611 ) / 1
LCM(868,873,611) = 462993804 / 1
LCM(868,873,611) = 462993804
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 424/868, 557/873, 988/611?
Answer: GCF of Numerators as per given numbers 424/868, 557/873, 988/611 is
GCF of Numerators i.e. for 424,557,988 is 1
LCM of denominators i.e. for 868,873,611 is 462993804.
Thus, GCF of Fractions is 1/462993804.Finally, GCF of Fractions for 424/868, 557/873, 988/611 is 1/462993804.