Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4805/886,5165/9463
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 4805,5165
Greatest Common Factor of Numerators i.e. GCF of 4805,5165 is 5 .
LCM of Denominators means LCM of 886,9463 as per the given fractions.
LCM of 886,9463 is 8384218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4805,5165
5 | 4805, 5165 |
961, 1033 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4805
List of positive integer factors of 4805 that divides 4805 without a remainder.
1,5,31,155,961,4805
Factors of 5165
List of positive integer factors of 5165 that divides 5165 without a remainder.
1,5,1033,5165
Greatest Common Factor
We found the factors 4805,5165 . The biggest common factor number is the GCF number.
So the greatest common factor 4805,5165 is 5.
Lets's calculate LCM of 886,9463
Given numbers has no common factors except 1. So, there LCM is their product i.e 8384218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8384218
Therefore, the GCF of Fractions 4805/886,5165/9463 is 5/8384218
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 886,9463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,9463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(886,9463) x common factors =1 x 1 = 1
LCM(886,9463) = ( 886 × 9463 ) / 1
LCM(886,9463) = 8384218 / 1
LCM(886,9463) = 8384218
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 4805/886, 5165/9463?
Answer: GCF of Numerators as per given numbers 4805/886, 5165/9463 is
GCF of Numerators i.e. for 4805,5165 is 5
LCM of denominators i.e. for 886,9463 is 8384218.
Thus, GCF of Fractions is 5/8384218.Finally, GCF of Fractions for 4805/886, 5165/9463 is 5/8384218.