Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 885/634,590/268,275/909
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 885,590,275
Greatest Common Factor of Numerators i.e. GCF of 885,590,275 is 5 .
LCM of Denominators means LCM of 634,268,909 as per the given fractions.
LCM of 634,268,909 is 77225004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 885,590,275
5 | 885, 590, 275 |
177, 118, 55 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 885,590,275 . The biggest common factor number is the GCF number.
So the greatest common factor 885,590,275 is 5.
Lets's calculate LCM of 634,268,909
2 | 634, 268, 909 |
317, 134, 909 |
∴ So the LCM of the given numbers is 2 x 317 x 134 x 909 = 77225004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/77225004
Therefore, the GCF of Fractions 885/634,590/268,275/909 is 5/77225004
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 634,268,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,268,909) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(634,268,909) x common factors =1 x 2 = 2
LCM(634,268,909) = ( 634 × 268 × 909 ) / 2
LCM(634,268,909) = 154450008 / 2
LCM(634,268,909) = 77225004
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 885/634, 590/268, 275/909?
Answer: GCF of Numerators as per given numbers 885/634, 590/268, 275/909 is
GCF of Numerators i.e. for 885,590,275 is 5
LCM of denominators i.e. for 634,268,909 is 77225004.
Thus, GCF of Fractions is 5/77225004.Finally, GCF of Fractions for 885/634, 590/268, 275/909 is 5/77225004.