Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 750/47,111/61,182/772
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 750,111,182
Greatest Common Factor of Numerators i.e. GCF of 750,111,182 is 1 .
LCM of Denominators means LCM of 47,61,772 as per the given fractions.
LCM of 47,61,772 is 2213324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 750,111,182
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 750,111,182 . The biggest common factor number is the GCF number.
So the greatest common factor 750,111,182 is 1.
Lets's calculate LCM of 47,61,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 2213324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2213324
Therefore, the GCF of Fractions 750/47,111/61,182/772 is 1/2213324
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 47,61,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,61,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,61,772) x common factors =1 x 1 = 1
LCM(47,61,772) = ( 47 × 61 × 772 ) / 1
LCM(47,61,772) = 2213324 / 1
LCM(47,61,772) = 2213324
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 750/47, 111/61, 182/772?
Answer: GCF of Numerators as per given numbers 750/47, 111/61, 182/772 is
GCF of Numerators i.e. for 750,111,182 is 1
LCM of denominators i.e. for 47,61,772 is 2213324.
Thus, GCF of Fractions is 1/2213324.Finally, GCF of Fractions for 750/47, 111/61, 182/772 is 1/2213324.