Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 836/403,803/302
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 836,803
Greatest Common Factor of Numerators i.e. GCF of 836,803 is 11 .
LCM of Denominators means LCM of 403,302 as per the given fractions.
LCM of 403,302 is 121706 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 836,803
11 | 836, 803 |
76, 73 |
∴ So the GCF of the given numbers is 11 = 11
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 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 836,803 . The biggest common factor number is the GCF number.
So the greatest common factor 836,803 is 11.
Lets's calculate LCM of 403,302
Given numbers has no common factors except 1. So, there LCM is their product i.e 121706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/121706
Therefore, the GCF of Fractions 836/403,803/302 is 11/121706
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 403,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,302) x common factors =1 x 1 = 1
LCM(403,302) = ( 403 × 302 ) / 1
LCM(403,302) = 121706 / 1
LCM(403,302) = 121706
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 836/403, 803/302?
Answer: GCF of Numerators as per given numbers 836/403, 803/302 is
GCF of Numerators i.e. for 836,803 is 11
LCM of denominators i.e. for 403,302 is 121706.
Thus, GCF of Fractions is 11/121706.Finally, GCF of Fractions for 836/403, 803/302 is 11/121706.