Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 166/500,987/532,558/701
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 166,987,558
Greatest Common Factor of Numerators i.e. GCF of 166,987,558 is 1 .
LCM of Denominators means LCM of 500,532,701 as per the given fractions.
LCM of 500,532,701 is 46616500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 166,987,558
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 166,987,558 . The biggest common factor number is the GCF number.
So the greatest common factor 166,987,558 is 1.
Lets's calculate LCM of 500,532,701
2 | 500, 532, 701 |
2 | 250, 266, 701 |
125, 133, 701 |
∴ So the LCM of the given numbers is 2 x 2 x 125 x 133 x 701 = 46616500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46616500
Therefore, the GCF of Fractions 166/500,987/532,558/701 is 1/46616500
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 500,532,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,532,701) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(500,532,701) x common factors =1 x 4 = 4
LCM(500,532,701) = ( 500 × 532 × 701 ) / 4
LCM(500,532,701) = 186466000 / 4
LCM(500,532,701) = 46616500
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 166/500, 987/532, 558/701?
Answer: GCF of Numerators as per given numbers 166/500, 987/532, 558/701 is
GCF of Numerators i.e. for 166,987,558 is 1
LCM of denominators i.e. for 500,532,701 is 46616500.
Thus, GCF of Fractions is 1/46616500.Finally, GCF of Fractions for 166/500, 987/532, 558/701 is 1/46616500.