Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9070/732,6254/385
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 9070,6254
Greatest Common Factor of Numerators i.e. GCF of 9070,6254 is 2 .
LCM of Denominators means LCM of 732,385 as per the given fractions.
LCM of 732,385 is 281820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9070,6254
2 | 9070, 6254 |
4535, 3127 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9070
List of positive integer factors of 9070 that divides 9070 without a remainder.
1,2,5,10,907,1814,4535,9070
Factors of 6254
List of positive integer factors of 6254 that divides 6254 without a remainder.
1,2,53,59,106,118,3127,6254
Greatest Common Factor
We found the factors 9070,6254 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,6254 is 2.
Lets's calculate LCM of 732,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 281820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/281820
Therefore, the GCF of Fractions 9070/732,6254/385 is 2/281820
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 732,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,385) x common factors =1 x 1 = 1
LCM(732,385) = ( 732 × 385 ) / 1
LCM(732,385) = 281820 / 1
LCM(732,385) = 281820
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 9070/732, 6254/385?
Answer: GCF of Numerators as per given numbers 9070/732, 6254/385 is
GCF of Numerators i.e. for 9070,6254 is 2
LCM of denominators i.e. for 732,385 is 281820.
Thus, GCF of Fractions is 2/281820.Finally, GCF of Fractions for 9070/732, 6254/385 is 2/281820.