Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/21,975/74,572/55
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 435,975,572
Greatest Common Factor of Numerators i.e. GCF of 435,975,572 is 1 .
LCM of Denominators means LCM of 21,74,55 as per the given fractions.
LCM of 21,74,55 is 85470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,975,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 435,975,572 . The biggest common factor number is the GCF number.
So the greatest common factor 435,975,572 is 1.
Lets's calculate LCM of 21,74,55
Given numbers has no common factors except 1. So, there LCM is their product i.e 85470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85470
Therefore, the GCF of Fractions 435/21,975/74,572/55 is 1/85470
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 21,74,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,74,55) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,74,55) x common factors =1 x 1 = 1
LCM(21,74,55) = ( 21 × 74 × 55 ) / 1
LCM(21,74,55) = 85470 / 1
LCM(21,74,55) = 85470
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 435/21, 975/74, 572/55?
Answer: GCF of Numerators as per given numbers 435/21, 975/74, 572/55 is
GCF of Numerators i.e. for 435,975,572 is 1
LCM of denominators i.e. for 21,74,55 is 85470.
Thus, GCF of Fractions is 1/85470.Finally, GCF of Fractions for 435/21, 975/74, 572/55 is 1/85470.