Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1988/644,8714/7947
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 1988,8714
Greatest Common Factor of Numerators i.e. GCF of 1988,8714 is 2 .
LCM of Denominators means LCM of 644,7947 as per the given fractions.
LCM of 644,7947 is 5117868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1988,8714
2 | 1988, 8714 |
994, 4357 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1988
List of positive integer factors of 1988 that divides 1988 without a remainder.
1,2,4,7,14,28,71,142,284,497,994,1988
Factors of 8714
List of positive integer factors of 8714 that divides 8714 without a remainder.
1,2,4357,8714
Greatest Common Factor
We found the factors 1988,8714 . The biggest common factor number is the GCF number.
So the greatest common factor 1988,8714 is 2.
Lets's calculate LCM of 644,7947
Given numbers has no common factors except 1. So, there LCM is their product i.e 5117868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5117868
Therefore, the GCF of Fractions 1988/644,8714/7947 is 2/5117868
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 644,7947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,7947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,7947) x common factors =1 x 1 = 1
LCM(644,7947) = ( 644 × 7947 ) / 1
LCM(644,7947) = 5117868 / 1
LCM(644,7947) = 5117868
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 1988/644, 8714/7947?
Answer: GCF of Numerators as per given numbers 1988/644, 8714/7947 is
GCF of Numerators i.e. for 1988,8714 is 2
LCM of denominators i.e. for 644,7947 is 5117868.
Thus, GCF of Fractions is 2/5117868.Finally, GCF of Fractions for 1988/644, 8714/7947 is 2/5117868.