Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8176/964,4003/899
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 8176,4003
Greatest Common Factor of Numerators i.e. GCF of 8176,4003 is 1 .
LCM of Denominators means LCM of 964,899 as per the given fractions.
LCM of 964,899 is 866636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8176,4003
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8176
List of positive integer factors of 8176 that divides 8176 without a remainder.
1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176
Factors of 4003
List of positive integer factors of 4003 that divides 4003 without a remainder.
1,4003
Greatest Common Factor
We found the factors 8176,4003 . The biggest common factor number is the GCF number.
So the greatest common factor 8176,4003 is 1.
Lets's calculate LCM of 964,899
Given numbers has no common factors except 1. So, there LCM is their product i.e 866636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/866636
Therefore, the GCF of Fractions 8176/964,4003/899 is 1/866636
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 964,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,899) x common factors =1 x 1 = 1
LCM(964,899) = ( 964 × 899 ) / 1
LCM(964,899) = 866636 / 1
LCM(964,899) = 866636
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 8176/964, 4003/899?
Answer: GCF of Numerators as per given numbers 8176/964, 4003/899 is
GCF of Numerators i.e. for 8176,4003 is 1
LCM of denominators i.e. for 964,899 is 866636.
Thus, GCF of Fractions is 1/866636.Finally, GCF of Fractions for 8176/964, 4003/899 is 1/866636.