Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/75,275/97,535/421
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 440,275,535
Greatest Common Factor of Numerators i.e. GCF of 440,275,535 is 5 .
LCM of Denominators means LCM of 75,97,421 as per the given fractions.
LCM of 75,97,421 is 3062775 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 440,275,535
5 | 440, 275, 535 |
88, 55, 107 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 440,275,535 . The biggest common factor number is the GCF number.
So the greatest common factor 440,275,535 is 5.
Lets's calculate LCM of 75,97,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 3062775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3062775
Therefore, the GCF of Fractions 440/75,275/97,535/421 is 5/3062775
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 75,97,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,97,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,97,421) x common factors =1 x 1 = 1
LCM(75,97,421) = ( 75 × 97 × 421 ) / 1
LCM(75,97,421) = 3062775 / 1
LCM(75,97,421) = 3062775
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 440/75, 275/97, 535/421?
Answer: GCF of Numerators as per given numbers 440/75, 275/97, 535/421 is
GCF of Numerators i.e. for 440,275,535 is 5
LCM of denominators i.e. for 75,97,421 is 3062775.
Thus, GCF of Fractions is 5/3062775.Finally, GCF of Fractions for 440/75, 275/97, 535/421 is 5/3062775.