Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 836/637,1337/684
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 836,1337
Greatest Common Factor of Numerators i.e. GCF of 836,1337 is 1 .
LCM of Denominators means LCM of 637,684 as per the given fractions.
LCM of 637,684 is 435708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 836,1337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 1337
List of positive integer factors of 1337 that divides 1337 without a remainder.
1,7,191,1337
Greatest Common Factor
We found the factors 836,1337 . The biggest common factor number is the GCF number.
So the greatest common factor 836,1337 is 1.
Lets's calculate LCM of 637,684
Given numbers has no common factors except 1. So, there LCM is their product i.e 435708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435708
Therefore, the GCF of Fractions 836/637,1337/684 is 1/435708
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 637,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,684) x common factors =1 x 1 = 1
LCM(637,684) = ( 637 × 684 ) / 1
LCM(637,684) = 435708 / 1
LCM(637,684) = 435708
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 836/637, 1337/684?
Answer: GCF of Numerators as per given numbers 836/637, 1337/684 is
GCF of Numerators i.e. for 836,1337 is 1
LCM of denominators i.e. for 637,684 is 435708.
Thus, GCF of Fractions is 1/435708.Finally, GCF of Fractions for 836/637, 1337/684 is 1/435708.