Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2930/51,1932/535
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 2930,1932
Greatest Common Factor of Numerators i.e. GCF of 2930,1932 is 2 .
LCM of Denominators means LCM of 51,535 as per the given fractions.
LCM of 51,535 is 27285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2930,1932
2 | 2930, 1932 |
1465, 966 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2930
List of positive integer factors of 2930 that divides 2930 without a remainder.
1,2,5,10,293,586,1465,2930
Factors of 1932
List of positive integer factors of 1932 that divides 1932 without a remainder.
1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 2930,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 2930,1932 is 2.
Lets's calculate LCM of 51,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 27285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27285
Therefore, the GCF of Fractions 2930/51,1932/535 is 2/27285
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 51,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,535) x common factors =1 x 1 = 1
LCM(51,535) = ( 51 × 535 ) / 1
LCM(51,535) = 27285 / 1
LCM(51,535) = 27285
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 2930/51, 1932/535?
Answer: GCF of Numerators as per given numbers 2930/51, 1932/535 is
GCF of Numerators i.e. for 2930,1932 is 2
LCM of denominators i.e. for 51,535 is 27285.
Thus, GCF of Fractions is 2/27285.Finally, GCF of Fractions for 2930/51, 1932/535 is 2/27285.