Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 124/67,2407/467
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 124,2407
Greatest Common Factor of Numerators i.e. GCF of 124,2407 is 1 .
LCM of Denominators means LCM of 67,467 as per the given fractions.
LCM of 67,467 is 31289 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 124,2407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 2407
List of positive integer factors of 2407 that divides 2407 without a remainder.
1,29,83,2407
Greatest Common Factor
We found the factors 124,2407 . The biggest common factor number is the GCF number.
So the greatest common factor 124,2407 is 1.
Lets's calculate LCM of 67,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 31289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31289
Therefore, the GCF of Fractions 124/67,2407/467 is 1/31289
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 67,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,467) x common factors =1 x 1 = 1
LCM(67,467) = ( 67 × 467 ) / 1
LCM(67,467) = 31289 / 1
LCM(67,467) = 31289
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 124/67, 2407/467?
Answer: GCF of Numerators as per given numbers 124/67, 2407/467 is
GCF of Numerators i.e. for 124,2407 is 1
LCM of denominators i.e. for 67,467 is 31289.
Thus, GCF of Fractions is 1/31289.Finally, GCF of Fractions for 124/67, 2407/467 is 1/31289.