Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 562/61,412/7420
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 562,412
Greatest Common Factor of Numerators i.e. GCF of 562,412 is 2 .
LCM of Denominators means LCM of 61,7420 as per the given fractions.
LCM of 61,7420 is 452620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 562,412
2 | 562, 412 |
281, 206 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 562,412 . The biggest common factor number is the GCF number.
So the greatest common factor 562,412 is 2.
Lets's calculate LCM of 61,7420
Given numbers has no common factors except 1. So, there LCM is their product i.e 452620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/452620
Therefore, the GCF of Fractions 562/61,412/7420 is 2/452620
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 61,7420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,7420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,7420) x common factors =1 x 1 = 1
LCM(61,7420) = ( 61 × 7420 ) / 1
LCM(61,7420) = 452620 / 1
LCM(61,7420) = 452620
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 562/61, 412/7420?
Answer: GCF of Numerators as per given numbers 562/61, 412/7420 is
GCF of Numerators i.e. for 562,412 is 2
LCM of denominators i.e. for 61,7420 is 452620.
Thus, GCF of Fractions is 2/452620.Finally, GCF of Fractions for 562/61, 412/7420 is 2/452620.