Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1553/837,1236/836
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 1553,1236
Greatest Common Factor of Numerators i.e. GCF of 1553,1236 is 1 .
LCM of Denominators means LCM of 837,836 as per the given fractions.
LCM of 837,836 is 699732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1553,1236
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1553
List of positive integer factors of 1553 that divides 1553 without a remainder.
1,1553
Factors of 1236
List of positive integer factors of 1236 that divides 1236 without a remainder.
1,2,3,4,6,12,103,206,309,412,618,1236
Greatest Common Factor
We found the factors 1553,1236 . The biggest common factor number is the GCF number.
So the greatest common factor 1553,1236 is 1.
Lets's calculate LCM of 837,836
Given numbers has no common factors except 1. So, there LCM is their product i.e 699732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699732
Therefore, the GCF of Fractions 1553/837,1236/836 is 1/699732
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 837,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,836) x common factors =1 x 1 = 1
LCM(837,836) = ( 837 × 836 ) / 1
LCM(837,836) = 699732 / 1
LCM(837,836) = 699732
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 1553/837, 1236/836?
Answer: GCF of Numerators as per given numbers 1553/837, 1236/836 is
GCF of Numerators i.e. for 1553,1236 is 1
LCM of denominators i.e. for 837,836 is 699732.
Thus, GCF of Fractions is 1/699732.Finally, GCF of Fractions for 1553/837, 1236/836 is 1/699732.