Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/27,178/82,962/514
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 544,178,962
Greatest Common Factor of Numerators i.e. GCF of 544,178,962 is 2 .
LCM of Denominators means LCM of 27,82,514 as per the given fractions.
LCM of 27,82,514 is 568998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 544,178,962
2 | 544, 178, 962 |
272, 89, 481 |
∴ So the GCF of the given numbers is 2 = 2
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 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 544,178,962 . The biggest common factor number is the GCF number.
So the greatest common factor 544,178,962 is 2.
Lets's calculate LCM of 27,82,514
2 | 27, 82, 514 |
27, 41, 257 |
∴ So the LCM of the given numbers is 2 x 27 x 41 x 257 = 568998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/568998
Therefore, the GCF of Fractions 544/27,178/82,962/514 is 2/568998
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 27,82,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,82,514) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(27,82,514) x common factors =1 x 2 = 2
LCM(27,82,514) = ( 27 × 82 × 514 ) / 2
LCM(27,82,514) = 1137996 / 2
LCM(27,82,514) = 568998
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 544/27, 178/82, 962/514?
Answer: GCF of Numerators as per given numbers 544/27, 178/82, 962/514 is
GCF of Numerators i.e. for 544,178,962 is 2
LCM of denominators i.e. for 27,82,514 is 568998.
Thus, GCF of Fractions is 2/568998.Finally, GCF of Fractions for 544/27, 178/82, 962/514 is 2/568998.