Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/765,178/133,976/254
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 611,178,976
Greatest Common Factor of Numerators i.e. GCF of 611,178,976 is 1 .
LCM of Denominators means LCM of 765,133,254 as per the given fractions.
LCM of 765,133,254 is 25843230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 611,178,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 611,178,976 . The biggest common factor number is the GCF number.
So the greatest common factor 611,178,976 is 1.
Lets's calculate LCM of 765,133,254
Given numbers has no common factors except 1. So, there LCM is their product i.e 25843230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25843230
Therefore, the GCF of Fractions 611/765,178/133,976/254 is 1/25843230
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 765,133,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,133,254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,133,254) x common factors =1 x 1 = 1
LCM(765,133,254) = ( 765 × 133 × 254 ) / 1
LCM(765,133,254) = 25843230 / 1
LCM(765,133,254) = 25843230
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 611/765, 178/133, 976/254?
Answer: GCF of Numerators as per given numbers 611/765, 178/133, 976/254 is
GCF of Numerators i.e. for 611,178,976 is 1
LCM of denominators i.e. for 765,133,254 is 25843230.
Thus, GCF of Fractions is 1/25843230.Finally, GCF of Fractions for 611/765, 178/133, 976/254 is 1/25843230.