Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9790/52,1279/764
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 9790,1279
Greatest Common Factor of Numerators i.e. GCF of 9790,1279 is 1 .
LCM of Denominators means LCM of 52,764 as per the given fractions.
LCM of 52,764 is 9932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9790,1279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9790
List of positive integer factors of 9790 that divides 9790 without a remainder.
1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
Factors of 1279
List of positive integer factors of 1279 that divides 1279 without a remainder.
1,1279
Greatest Common Factor
We found the factors 9790,1279 . The biggest common factor number is the GCF number.
So the greatest common factor 9790,1279 is 1.
Lets's calculate LCM of 52,764
2 | 52, 764 |
2 | 26, 382 |
13, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 191 = 9932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9932
Therefore, the GCF of Fractions 9790/52,1279/764 is 1/9932
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 52,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,764) x common factors =4 x 1 = 4
LCM(52,764) = ( 52 × 764 ) / 4
LCM(52,764) = 39728 / 4
LCM(52,764) = 9932
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 9790/52, 1279/764?
Answer: GCF of Numerators as per given numbers 9790/52, 1279/764 is
GCF of Numerators i.e. for 9790,1279 is 1
LCM of denominators i.e. for 52,764 is 9932.
Thus, GCF of Fractions is 1/9932.Finally, GCF of Fractions for 9790/52, 1279/764 is 1/9932.