Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/82,951/3725
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 554,951
Greatest Common Factor of Numerators i.e. GCF of 554,951 is 1 .
LCM of Denominators means LCM of 82,3725 as per the given fractions.
LCM of 82,3725 is 305450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 554,951 . The biggest common factor number is the GCF number.
So the greatest common factor 554,951 is 1.
Lets's calculate LCM of 82,3725
Given numbers has no common factors except 1. So, there LCM is their product i.e 305450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305450
Therefore, the GCF of Fractions 554/82,951/3725 is 1/305450
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 82,3725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,3725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,3725) x common factors =1 x 1 = 1
LCM(82,3725) = ( 82 × 3725 ) / 1
LCM(82,3725) = 305450 / 1
LCM(82,3725) = 305450
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 554/82, 951/3725?
Answer: GCF of Numerators as per given numbers 554/82, 951/3725 is
GCF of Numerators i.e. for 554,951 is 1
LCM of denominators i.e. for 82,3725 is 305450.
Thus, GCF of Fractions is 1/305450.Finally, GCF of Fractions for 554/82, 951/3725 is 1/305450.