Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4882/163,1168/824
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 4882,1168
Greatest Common Factor of Numerators i.e. GCF of 4882,1168 is 2 .
LCM of Denominators means LCM of 163,824 as per the given fractions.
LCM of 163,824 is 134312 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4882,1168
2 | 4882, 1168 |
2441, 584 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4882
List of positive integer factors of 4882 that divides 4882 without a remainder.
1,2,2441,4882
Factors of 1168
List of positive integer factors of 1168 that divides 1168 without a remainder.
1,2,4,8,16,73,146,292,584,1168
Greatest Common Factor
We found the factors 4882,1168 . The biggest common factor number is the GCF number.
So the greatest common factor 4882,1168 is 2.
Lets's calculate LCM of 163,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 134312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134312
Therefore, the GCF of Fractions 4882/163,1168/824 is 2/134312
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 163,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,824) x common factors =1 x 1 = 1
LCM(163,824) = ( 163 × 824 ) / 1
LCM(163,824) = 134312 / 1
LCM(163,824) = 134312
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 4882/163, 1168/824?
Answer: GCF of Numerators as per given numbers 4882/163, 1168/824 is
GCF of Numerators i.e. for 4882,1168 is 2
LCM of denominators i.e. for 163,824 is 134312.
Thus, GCF of Fractions is 2/134312.Finally, GCF of Fractions for 4882/163, 1168/824 is 2/134312.