Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 776/43,168/6343
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 776,168
Greatest Common Factor of Numerators i.e. GCF of 776,168 is 8 .
LCM of Denominators means LCM of 43,6343 as per the given fractions.
LCM of 43,6343 is 272749 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 776,168
2 | 776, 168 |
2 | 388, 84 |
2 | 194, 42 |
97, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 776,168 . The biggest common factor number is the GCF number.
So the greatest common factor 776,168 is 8.
Lets's calculate LCM of 43,6343
Given numbers has no common factors except 1. So, there LCM is their product i.e 272749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/272749
Therefore, the GCF of Fractions 776/43,168/6343 is 8/272749
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 43,6343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,6343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,6343) x common factors =1 x 1 = 1
LCM(43,6343) = ( 43 × 6343 ) / 1
LCM(43,6343) = 272749 / 1
LCM(43,6343) = 272749
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 776/43, 168/6343?
Answer: GCF of Numerators as per given numbers 776/43, 168/6343 is
GCF of Numerators i.e. for 776,168 is 8
LCM of denominators i.e. for 43,6343 is 272749.
Thus, GCF of Fractions is 8/272749.Finally, GCF of Fractions for 776/43, 168/6343 is 8/272749.