Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 239/97,687/95,207/37
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 239,687,207
Greatest Common Factor of Numerators i.e. GCF of 239,687,207 is 1 .
LCM of Denominators means LCM of 97,95,37 as per the given fractions.
LCM of 97,95,37 is 340955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 239,687,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Greatest Common Factor
We found the factors 239,687,207 . The biggest common factor number is the GCF number.
So the greatest common factor 239,687,207 is 1.
Lets's calculate LCM of 97,95,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 340955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340955
Therefore, the GCF of Fractions 239/97,687/95,207/37 is 1/340955
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 97,95,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,95,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,95,37) x common factors =1 x 1 = 1
LCM(97,95,37) = ( 97 × 95 × 37 ) / 1
LCM(97,95,37) = 340955 / 1
LCM(97,95,37) = 340955
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 239/97, 687/95, 207/37?
Answer: GCF of Numerators as per given numbers 239/97, 687/95, 207/37 is
GCF of Numerators i.e. for 239,687,207 is 1
LCM of denominators i.e. for 97,95,37 is 340955.
Thus, GCF of Fractions is 1/340955.Finally, GCF of Fractions for 239/97, 687/95, 207/37 is 1/340955.