Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 213/511,548/562,143/753
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 213,548,143
Greatest Common Factor of Numerators i.e. GCF of 213,548,143 is 1 .
LCM of Denominators means LCM of 511,562,753 as per the given fractions.
LCM of 511,562,753 is 216248046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 213,548,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 213,548,143 . The biggest common factor number is the GCF number.
So the greatest common factor 213,548,143 is 1.
Lets's calculate LCM of 511,562,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 216248046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216248046
Therefore, the GCF of Fractions 213/511,548/562,143/753 is 1/216248046
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 511,562,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,562,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,562,753) x common factors =1 x 1 = 1
LCM(511,562,753) = ( 511 × 562 × 753 ) / 1
LCM(511,562,753) = 216248046 / 1
LCM(511,562,753) = 216248046
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 213/511, 548/562, 143/753?
Answer: GCF of Numerators as per given numbers 213/511, 548/562, 143/753 is
GCF of Numerators i.e. for 213,548,143 is 1
LCM of denominators i.e. for 511,562,753 is 216248046.
Thus, GCF of Fractions is 1/216248046.Finally, GCF of Fractions for 213/511, 548/562, 143/753 is 1/216248046.