Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 500/67,512/10,511/862
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 500,512,511
Greatest Common Factor of Numerators i.e. GCF of 500,512,511 is 1 .
LCM of Denominators means LCM of 67,10,862 as per the given fractions.
LCM of 67,10,862 is 288770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 500,512,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 500,512,511 . The biggest common factor number is the GCF number.
So the greatest common factor 500,512,511 is 1.
Lets's calculate LCM of 67,10,862
2 | 67, 10, 862 |
67, 5, 431 |
∴ So the LCM of the given numbers is 2 x 67 x 5 x 431 = 288770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288770
Therefore, the GCF of Fractions 500/67,512/10,511/862 is 1/288770
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 67,10,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,10,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,10,862) x common factors =1 x 2 = 2
LCM(67,10,862) = ( 67 × 10 × 862 ) / 2
LCM(67,10,862) = 577540 / 2
LCM(67,10,862) = 288770
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 500/67, 512/10, 511/862?
Answer: GCF of Numerators as per given numbers 500/67, 512/10, 511/862 is
GCF of Numerators i.e. for 500,512,511 is 1
LCM of denominators i.e. for 67,10,862 is 288770.
Thus, GCF of Fractions is 1/288770.Finally, GCF of Fractions for 500/67, 512/10, 511/862 is 1/288770.