Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/761,195/673,206/525
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 92,195,206
Greatest Common Factor of Numerators i.e. GCF of 92,195,206 is 1 .
LCM of Denominators means LCM of 761,673,525 as per the given fractions.
LCM of 761,673,525 is 268880325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,195,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 92,195,206 . The biggest common factor number is the GCF number.
So the greatest common factor 92,195,206 is 1.
Lets's calculate LCM of 761,673,525
Given numbers has no common factors except 1. So, there LCM is their product i.e 268880325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268880325
Therefore, the GCF of Fractions 92/761,195/673,206/525 is 1/268880325
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 761,673,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,673,525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,673,525) x common factors =1 x 1 = 1
LCM(761,673,525) = ( 761 × 673 × 525 ) / 1
LCM(761,673,525) = 268880325 / 1
LCM(761,673,525) = 268880325
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 92/761, 195/673, 206/525?
Answer: GCF of Numerators as per given numbers 92/761, 195/673, 206/525 is
GCF of Numerators i.e. for 92,195,206 is 1
LCM of denominators i.e. for 761,673,525 is 268880325.
Thus, GCF of Fractions is 1/268880325.Finally, GCF of Fractions for 92/761, 195/673, 206/525 is 1/268880325.