Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 124/791,1786/670
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 124,1786
Greatest Common Factor of Numerators i.e. GCF of 124,1786 is 2 .
LCM of Denominators means LCM of 791,670 as per the given fractions.
LCM of 791,670 is 529970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 124,1786
2 | 124, 1786 |
62, 893 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 1786
List of positive integer factors of 1786 that divides 1786 without a remainder.
1,2,19,38,47,94,893,1786
Greatest Common Factor
We found the factors 124,1786 . The biggest common factor number is the GCF number.
So the greatest common factor 124,1786 is 2.
Lets's calculate LCM of 791,670
Given numbers has no common factors except 1. So, there LCM is their product i.e 529970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/529970
Therefore, the GCF of Fractions 124/791,1786/670 is 2/529970
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 791,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,670) x common factors =1 x 1 = 1
LCM(791,670) = ( 791 × 670 ) / 1
LCM(791,670) = 529970 / 1
LCM(791,670) = 529970
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 124/791, 1786/670?
Answer: GCF of Numerators as per given numbers 124/791, 1786/670 is
GCF of Numerators i.e. for 124,1786 is 2
LCM of denominators i.e. for 791,670 is 529970.
Thus, GCF of Fractions is 2/529970.Finally, GCF of Fractions for 124/791, 1786/670 is 2/529970.