Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 360/76,454/23,535/875
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 360,454,535
Greatest Common Factor of Numerators i.e. GCF of 360,454,535 is 1 .
LCM of Denominators means LCM of 76,23,875 as per the given fractions.
LCM of 76,23,875 is 1529500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 360,454,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
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 360,454,535 . The biggest common factor number is the GCF number.
So the greatest common factor 360,454,535 is 1.
Lets's calculate LCM of 76,23,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 1529500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529500
Therefore, the GCF of Fractions 360/76,454/23,535/875 is 1/1529500
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 76,23,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,23,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,23,875) x common factors =1 x 1 = 1
LCM(76,23,875) = ( 76 × 23 × 875 ) / 1
LCM(76,23,875) = 1529500 / 1
LCM(76,23,875) = 1529500
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 360/76, 454/23, 535/875?
Answer: GCF of Numerators as per given numbers 360/76, 454/23, 535/875 is
GCF of Numerators i.e. for 360,454,535 is 1
LCM of denominators i.e. for 76,23,875 is 1529500.
Thus, GCF of Fractions is 1/1529500.Finally, GCF of Fractions for 360/76, 454/23, 535/875 is 1/1529500.