Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 930/511,860/443,185/491
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 930,860,185
Greatest Common Factor of Numerators i.e. GCF of 930,860,185 is 5 .
LCM of Denominators means LCM of 511,443,491 as per the given fractions.
LCM of 511,443,491 is 111149143 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 930,860,185
5 | 930, 860, 185 |
186, 172, 37 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 930,860,185 . The biggest common factor number is the GCF number.
So the greatest common factor 930,860,185 is 5.
Lets's calculate LCM of 511,443,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 111149143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/111149143
Therefore, the GCF of Fractions 930/511,860/443,185/491 is 5/111149143
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 511,443,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,443,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,443,491) x common factors =1 x 1 = 1
LCM(511,443,491) = ( 511 × 443 × 491 ) / 1
LCM(511,443,491) = 111149143 / 1
LCM(511,443,491) = 111149143
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 930/511, 860/443, 185/491?
Answer: GCF of Numerators as per given numbers 930/511, 860/443, 185/491 is
GCF of Numerators i.e. for 930,860,185 is 5
LCM of denominators i.e. for 511,443,491 is 111149143.
Thus, GCF of Fractions is 5/111149143.Finally, GCF of Fractions for 930/511, 860/443, 185/491 is 5/111149143.