Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/53,672/7774
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 819,672
Greatest Common Factor of Numerators i.e. GCF of 819,672 is 21 .
LCM of Denominators means LCM of 53,7774 as per the given fractions.
LCM of 53,7774 is 412022 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 819,672
3 | 819, 672 |
7 | 273, 224 |
39, 32 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 819,672 . The biggest common factor number is the GCF number.
So the greatest common factor 819,672 is 21.
Lets's calculate LCM of 53,7774
Given numbers has no common factors except 1. So, there LCM is their product i.e 412022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/412022
Therefore, the GCF of Fractions 819/53,672/7774 is 21/412022
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 53,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,7774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,7774) x common factors =1 x 1 = 1
LCM(53,7774) = ( 53 × 7774 ) / 1
LCM(53,7774) = 412022 / 1
LCM(53,7774) = 412022
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 819/53, 672/7774?
Answer: GCF of Numerators as per given numbers 819/53, 672/7774 is
GCF of Numerators i.e. for 819,672 is 21
LCM of denominators i.e. for 53,7774 is 412022.
Thus, GCF of Fractions is 21/412022.Finally, GCF of Fractions for 819/53, 672/7774 is 21/412022.