Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/213,213/701
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 547,213
Greatest Common Factor of Numerators i.e. GCF of 547,213 is 1 .
LCM of Denominators means LCM of 213,701 as per the given fractions.
LCM of 213,701 is 149313 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 547,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 547,213 . The biggest common factor number is the GCF number.
So the greatest common factor 547,213 is 1.
Lets's calculate LCM of 213,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 149313
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149313
Therefore, the GCF of Fractions 547/213,213/701 is 1/149313
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 213,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,701) x common factors =1 x 1 = 1
LCM(213,701) = ( 213 × 701 ) / 1
LCM(213,701) = 149313 / 1
LCM(213,701) = 149313
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 547/213, 213/701?
Answer: GCF of Numerators as per given numbers 547/213, 213/701 is
GCF of Numerators i.e. for 547,213 is 1
LCM of denominators i.e. for 213,701 is 149313.
Thus, GCF of Fractions is 1/149313.Finally, GCF of Fractions for 547/213, 213/701 is 1/149313.