Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/83,888/26,179/905
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 567,888,179
Greatest Common Factor of Numerators i.e. GCF of 567,888,179 is 1 .
LCM of Denominators means LCM of 83,26,905 as per the given fractions.
LCM of 83,26,905 is 1952990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 567,888,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 567,888,179 . The biggest common factor number is the GCF number.
So the greatest common factor 567,888,179 is 1.
Lets's calculate LCM of 83,26,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 1952990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1952990
Therefore, the GCF of Fractions 567/83,888/26,179/905 is 1/1952990
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 83,26,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,26,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,26,905) x common factors =1 x 1 = 1
LCM(83,26,905) = ( 83 × 26 × 905 ) / 1
LCM(83,26,905) = 1952990 / 1
LCM(83,26,905) = 1952990
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 567/83, 888/26, 179/905?
Answer: GCF of Numerators as per given numbers 567/83, 888/26, 179/905 is
GCF of Numerators i.e. for 567,888,179 is 1
LCM of denominators i.e. for 83,26,905 is 1952990.
Thus, GCF of Fractions is 1/1952990.Finally, GCF of Fractions for 567/83, 888/26, 179/905 is 1/1952990.