Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1736/475,3687/5648
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 1736,3687
Greatest Common Factor of Numerators i.e. GCF of 1736,3687 is 1 .
LCM of Denominators means LCM of 475,5648 as per the given fractions.
LCM of 475,5648 is 2682800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1736,3687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1736
List of positive integer factors of 1736 that divides 1736 without a remainder.
1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736
Factors of 3687
List of positive integer factors of 3687 that divides 3687 without a remainder.
1,3,1229,3687
Greatest Common Factor
We found the factors 1736,3687 . The biggest common factor number is the GCF number.
So the greatest common factor 1736,3687 is 1.
Lets's calculate LCM of 475,5648
Given numbers has no common factors except 1. So, there LCM is their product i.e 2682800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2682800
Therefore, the GCF of Fractions 1736/475,3687/5648 is 1/2682800
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 475,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,5648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,5648) x common factors =1 x 1 = 1
LCM(475,5648) = ( 475 × 5648 ) / 1
LCM(475,5648) = 2682800 / 1
LCM(475,5648) = 2682800
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 1736/475, 3687/5648?
Answer: GCF of Numerators as per given numbers 1736/475, 3687/5648 is
GCF of Numerators i.e. for 1736,3687 is 1
LCM of denominators i.e. for 475,5648 is 2682800.
Thus, GCF of Fractions is 1/2682800.Finally, GCF of Fractions for 1736/475, 3687/5648 is 1/2682800.