Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8844/77,6620/366
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 8844,6620
Greatest Common Factor of Numerators i.e. GCF of 8844,6620 is 4 .
LCM of Denominators means LCM of 77,366 as per the given fractions.
LCM of 77,366 is 28182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8844,6620
2 | 8844, 6620 |
2 | 4422, 3310 |
2211, 1655 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8844
List of positive integer factors of 8844 that divides 8844 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,67,132,134,201,268,402,737,804,1474,2211,2948,4422,8844
Factors of 6620
List of positive integer factors of 6620 that divides 6620 without a remainder.
1,2,4,5,10,20,331,662,1324,1655,3310,6620
Greatest Common Factor
We found the factors 8844,6620 . The biggest common factor number is the GCF number.
So the greatest common factor 8844,6620 is 4.
Lets's calculate LCM of 77,366
Given numbers has no common factors except 1. So, there LCM is their product i.e 28182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28182
Therefore, the GCF of Fractions 8844/77,6620/366 is 4/28182
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 77,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,366) x common factors =1 x 1 = 1
LCM(77,366) = ( 77 × 366 ) / 1
LCM(77,366) = 28182 / 1
LCM(77,366) = 28182
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 8844/77, 6620/366?
Answer: GCF of Numerators as per given numbers 8844/77, 6620/366 is
GCF of Numerators i.e. for 8844,6620 is 4
LCM of denominators i.e. for 77,366 is 28182.
Thus, GCF of Fractions is 4/28182.Finally, GCF of Fractions for 8844/77, 6620/366 is 4/28182.