Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7056/316,8121/545
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 7056,8121
Greatest Common Factor of Numerators i.e. GCF of 7056,8121 is 3 .
LCM of Denominators means LCM of 316,545 as per the given fractions.
LCM of 316,545 is 172220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7056,8121
3 | 7056, 8121 |
2352, 2707 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7056
List of positive integer factors of 7056 that divides 7056 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Factors of 8121
List of positive integer factors of 8121 that divides 8121 without a remainder.
1,3,2707,8121
Greatest Common Factor
We found the factors 7056,8121 . The biggest common factor number is the GCF number.
So the greatest common factor 7056,8121 is 3.
Lets's calculate LCM of 316,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 172220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/172220
Therefore, the GCF of Fractions 7056/316,8121/545 is 3/172220
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 316,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(316,545) x common factors =1 x 1 = 1
LCM(316,545) = ( 316 × 545 ) / 1
LCM(316,545) = 172220 / 1
LCM(316,545) = 172220
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 7056/316, 8121/545?
Answer: GCF of Numerators as per given numbers 7056/316, 8121/545 is
GCF of Numerators i.e. for 7056,8121 is 3
LCM of denominators i.e. for 316,545 is 172220.
Thus, GCF of Fractions is 3/172220.Finally, GCF of Fractions for 7056/316, 8121/545 is 3/172220.