Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1392/77,5562/884
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 1392,5562
Greatest Common Factor of Numerators i.e. GCF of 1392,5562 is 6 .
LCM of Denominators means LCM of 77,884 as per the given fractions.
LCM of 77,884 is 68068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1392,5562
2 | 1392, 5562 |
3 | 696, 2781 |
232, 927 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1392
List of positive integer factors of 1392 that divides 1392 without a remainder.
1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392
Factors of 5562
List of positive integer factors of 5562 that divides 5562 without a remainder.
1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562
Greatest Common Factor
We found the factors 1392,5562 . The biggest common factor number is the GCF number.
So the greatest common factor 1392,5562 is 6.
Lets's calculate LCM of 77,884
Given numbers has no common factors except 1. So, there LCM is their product i.e 68068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/68068
Therefore, the GCF of Fractions 1392/77,5562/884 is 6/68068
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 77,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,884) x common factors =1 x 1 = 1
LCM(77,884) = ( 77 × 884 ) / 1
LCM(77,884) = 68068 / 1
LCM(77,884) = 68068
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 1392/77, 5562/884?
Answer: GCF of Numerators as per given numbers 1392/77, 5562/884 is
GCF of Numerators i.e. for 1392,5562 is 6
LCM of denominators i.e. for 77,884 is 68068.
Thus, GCF of Fractions is 6/68068.Finally, GCF of Fractions for 1392/77, 5562/884 is 6/68068.