Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/76,544/11,882/26
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 648,544,882
Greatest Common Factor of Numerators i.e. GCF of 648,544,882 is 2 .
LCM of Denominators means LCM of 76,11,26 as per the given fractions.
LCM of 76,11,26 is 10868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,544,882
2 | 648, 544, 882 |
324, 272, 441 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 648,544,882 . The biggest common factor number is the GCF number.
So the greatest common factor 648,544,882 is 2.
Lets's calculate LCM of 76,11,26
2 | 76, 11, 26 |
38, 11, 13 |
∴ So the LCM of the given numbers is 2 x 38 x 11 x 13 = 10868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10868
Therefore, the GCF of Fractions 648/76,544/11,882/26 is 2/10868
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 76,11,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,11,26) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(76,11,26) x common factors =1 x 2 = 2
LCM(76,11,26) = ( 76 × 11 × 26 ) / 2
LCM(76,11,26) = 21736 / 2
LCM(76,11,26) = 10868
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 648/76, 544/11, 882/26?
Answer: GCF of Numerators as per given numbers 648/76, 544/11, 882/26 is
GCF of Numerators i.e. for 648,544,882 is 2
LCM of denominators i.e. for 76,11,26 is 10868.
Thus, GCF of Fractions is 2/10868.Finally, GCF of Fractions for 648/76, 544/11, 882/26 is 2/10868.