Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3896/862,2545/947
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 3896,2545
Greatest Common Factor of Numerators i.e. GCF of 3896,2545 is 1 .
LCM of Denominators means LCM of 862,947 as per the given fractions.
LCM of 862,947 is 816314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3896,2545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3896
List of positive integer factors of 3896 that divides 3896 without a remainder.
1,2,4,8,487,974,1948,3896
Factors of 2545
List of positive integer factors of 2545 that divides 2545 without a remainder.
1,5,509,2545
Greatest Common Factor
We found the factors 3896,2545 . The biggest common factor number is the GCF number.
So the greatest common factor 3896,2545 is 1.
Lets's calculate LCM of 862,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 816314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/816314
Therefore, the GCF of Fractions 3896/862,2545/947 is 1/816314
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 862,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,947) x common factors =1 x 1 = 1
LCM(862,947) = ( 862 × 947 ) / 1
LCM(862,947) = 816314 / 1
LCM(862,947) = 816314
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 3896/862, 2545/947?
Answer: GCF of Numerators as per given numbers 3896/862, 2545/947 is
GCF of Numerators i.e. for 3896,2545 is 1
LCM of denominators i.e. for 862,947 is 816314.
Thus, GCF of Fractions is 1/816314.Finally, GCF of Fractions for 3896/862, 2545/947 is 1/816314.