Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/51,187/83,138/169
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 92,187,138
Greatest Common Factor of Numerators i.e. GCF of 92,187,138 is 1 .
LCM of Denominators means LCM of 51,83,169 as per the given fractions.
LCM of 51,83,169 is 715377 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,187,138
∴ 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 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 92,187,138 . The biggest common factor number is the GCF number.
So the greatest common factor 92,187,138 is 1.
Lets's calculate LCM of 51,83,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 715377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/715377
Therefore, the GCF of Fractions 92/51,187/83,138/169 is 1/715377
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 51,83,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,83,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,83,169) x common factors =1 x 1 = 1
LCM(51,83,169) = ( 51 × 83 × 169 ) / 1
LCM(51,83,169) = 715377 / 1
LCM(51,83,169) = 715377
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 92/51, 187/83, 138/169?
Answer: GCF of Numerators as per given numbers 92/51, 187/83, 138/169 is
GCF of Numerators i.e. for 92,187,138 is 1
LCM of denominators i.e. for 51,83,169 is 715377.
Thus, GCF of Fractions is 1/715377.Finally, GCF of Fractions for 92/51, 187/83, 138/169 is 1/715377.