Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/681,637/629,818/239
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 528,637,818
Greatest Common Factor of Numerators i.e. GCF of 528,637,818 is 1 .
LCM of Denominators means LCM of 681,629,239 as per the given fractions.
LCM of 681,629,239 is 102375411 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 528,637,818
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 528,637,818 . The biggest common factor number is the GCF number.
So the greatest common factor 528,637,818 is 1.
Lets's calculate LCM of 681,629,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 102375411
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102375411
Therefore, the GCF of Fractions 528/681,637/629,818/239 is 1/102375411
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 681,629,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,629,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,629,239) x common factors =1 x 1 = 1
LCM(681,629,239) = ( 681 × 629 × 239 ) / 1
LCM(681,629,239) = 102375411 / 1
LCM(681,629,239) = 102375411
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 528/681, 637/629, 818/239?
Answer: GCF of Numerators as per given numbers 528/681, 637/629, 818/239 is
GCF of Numerators i.e. for 528,637,818 is 1
LCM of denominators i.e. for 681,629,239 is 102375411.
Thus, GCF of Fractions is 1/102375411.Finally, GCF of Fractions for 528/681, 637/629, 818/239 is 1/102375411.