Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 125/84,874/251
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 125,874
Greatest Common Factor of Numerators i.e. GCF of 125,874 is 1 .
LCM of Denominators means LCM of 84,251 as per the given fractions.
LCM of 84,251 is 21084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 125,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 125,874 . The biggest common factor number is the GCF number.
So the greatest common factor 125,874 is 1.
Lets's calculate LCM of 84,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 21084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21084
Therefore, the GCF of Fractions 125/84,874/251 is 1/21084
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 84,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,251) x common factors =1 x 1 = 1
LCM(84,251) = ( 84 × 251 ) / 1
LCM(84,251) = 21084 / 1
LCM(84,251) = 21084
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 125/84, 874/251?
Answer: GCF of Numerators as per given numbers 125/84, 874/251 is
GCF of Numerators i.e. for 125,874 is 1
LCM of denominators i.e. for 84,251 is 21084.
Thus, GCF of Fractions is 1/21084.Finally, GCF of Fractions for 125/84, 874/251 is 1/21084.