Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8045/886,6964/778
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 8045,6964
Greatest Common Factor of Numerators i.e. GCF of 8045,6964 is 1 .
LCM of Denominators means LCM of 886,778 as per the given fractions.
LCM of 886,778 is 344654 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8045,6964
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8045
List of positive integer factors of 8045 that divides 8045 without a remainder.
1,5,1609,8045
Factors of 6964
List of positive integer factors of 6964 that divides 6964 without a remainder.
1,2,4,1741,3482,6964
Greatest Common Factor
We found the factors 8045,6964 . The biggest common factor number is the GCF number.
So the greatest common factor 8045,6964 is 1.
Lets's calculate LCM of 886,778
2 | 886, 778 |
443, 389 |
∴ So the LCM of the given numbers is 2 x 443 x 389 = 344654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344654
Therefore, the GCF of Fractions 8045/886,6964/778 is 1/344654
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 886,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,778) x common factors =2 x 1 = 2
LCM(886,778) = ( 886 × 778 ) / 2
LCM(886,778) = 689308 / 2
LCM(886,778) = 344654
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 8045/886, 6964/778?
Answer: GCF of Numerators as per given numbers 8045/886, 6964/778 is
GCF of Numerators i.e. for 8045,6964 is 1
LCM of denominators i.e. for 886,778 is 344654.
Thus, GCF of Fractions is 1/344654.Finally, GCF of Fractions for 8045/886, 6964/778 is 1/344654.