Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 173/77,124/9026
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 173,124
Greatest Common Factor of Numerators i.e. GCF of 173,124 is 1 .
LCM of Denominators means LCM of 77,9026 as per the given fractions.
LCM of 77,9026 is 695002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 173,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 173,124 . The biggest common factor number is the GCF number.
So the greatest common factor 173,124 is 1.
Lets's calculate LCM of 77,9026
Given numbers has no common factors except 1. So, there LCM is their product i.e 695002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695002
Therefore, the GCF of Fractions 173/77,124/9026 is 1/695002
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 77,9026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,9026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,9026) x common factors =1 x 1 = 1
LCM(77,9026) = ( 77 × 9026 ) / 1
LCM(77,9026) = 695002 / 1
LCM(77,9026) = 695002
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 173/77, 124/9026?
Answer: GCF of Numerators as per given numbers 173/77, 124/9026 is
GCF of Numerators i.e. for 173,124 is 1
LCM of denominators i.e. for 77,9026 is 695002.
Thus, GCF of Fractions is 1/695002.Finally, GCF of Fractions for 173/77, 124/9026 is 1/695002.