Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 636/533,3372/1210
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 636,3372
Greatest Common Factor of Numerators i.e. GCF of 636,3372 is 12 .
LCM of Denominators means LCM of 533,1210 as per the given fractions.
LCM of 533,1210 is 644930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 636,3372
2 | 636, 3372 |
2 | 318, 1686 |
3 | 159, 843 |
53, 281 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 3372
List of positive integer factors of 3372 that divides 3372 without a remainder.
1,2,3,4,6,12,281,562,843,1124,1686,3372
Greatest Common Factor
We found the factors 636,3372 . The biggest common factor number is the GCF number.
So the greatest common factor 636,3372 is 12.
Lets's calculate LCM of 533,1210
Given numbers has no common factors except 1. So, there LCM is their product i.e 644930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/644930
Therefore, the GCF of Fractions 636/533,3372/1210 is 12/644930
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 533,1210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,1210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,1210) x common factors =1 x 1 = 1
LCM(533,1210) = ( 533 × 1210 ) / 1
LCM(533,1210) = 644930 / 1
LCM(533,1210) = 644930
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 636/533, 3372/1210?
Answer: GCF of Numerators as per given numbers 636/533, 3372/1210 is
GCF of Numerators i.e. for 636,3372 is 12
LCM of denominators i.e. for 533,1210 is 644930.
Thus, GCF of Fractions is 12/644930.Finally, GCF of Fractions for 636/533, 3372/1210 is 12/644930.