Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 437/382,7790/924
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 437,7790
Greatest Common Factor of Numerators i.e. GCF of 437,7790 is 19 .
LCM of Denominators means LCM of 382,924 as per the given fractions.
LCM of 382,924 is 176484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 437,7790
19 | 437, 7790 |
23, 410 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 7790
List of positive integer factors of 7790 that divides 7790 without a remainder.
1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790
Greatest Common Factor
We found the factors 437,7790 . The biggest common factor number is the GCF number.
So the greatest common factor 437,7790 is 19.
Lets's calculate LCM of 382,924
2 | 382, 924 |
191, 462 |
∴ So the LCM of the given numbers is 2 x 191 x 462 = 176484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/176484
Therefore, the GCF of Fractions 437/382,7790/924 is 19/176484
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 382,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,924) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,924) x common factors =2 x 1 = 2
LCM(382,924) = ( 382 × 924 ) / 2
LCM(382,924) = 352968 / 2
LCM(382,924) = 176484
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 437/382, 7790/924?
Answer: GCF of Numerators as per given numbers 437/382, 7790/924 is
GCF of Numerators i.e. for 437,7790 is 19
LCM of denominators i.e. for 382,924 is 176484.
Thus, GCF of Fractions is 19/176484.Finally, GCF of Fractions for 437/382, 7790/924 is 19/176484.