Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3640/89,7056/712
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 3640,7056
Greatest Common Factor of Numerators i.e. GCF of 3640,7056 is 56 .
LCM of Denominators means LCM of 89,712 as per the given fractions.
LCM of 89,712 is 712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3640,7056
2 | 3640, 7056 |
2 | 1820, 3528 |
2 | 910, 1764 |
7 | 455, 882 |
65, 126 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Factors of 3640
List of positive integer factors of 3640 that divides 3640 without a remainder.
1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
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
Greatest Common Factor
We found the factors 3640,7056 . The biggest common factor number is the GCF number.
So the greatest common factor 3640,7056 is 56.
Lets's calculate LCM of 89,712
89 | 89, 712 |
1, 8 |
∴ So the LCM of the given numbers is 89 x 1 x 8 = 712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/712
Therefore, the GCF of Fractions 3640/89,7056/712 is 56/712
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 89,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,712) = 89
common factors(in case of two or more numbers have common factors) = 1
GCF(89,712) x common factors =89 x 1 = 89
LCM(89,712) = ( 89 × 712 ) / 89
LCM(89,712) = 63368 / 89
LCM(89,712) = 712
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 3640/89, 7056/712?
Answer: GCF of Numerators as per given numbers 3640/89, 7056/712 is
GCF of Numerators i.e. for 3640,7056 is 56
LCM of denominators i.e. for 89,712 is 712.
Thus, GCF of Fractions is 56/712.Finally, GCF of Fractions for 3640/89, 7056/712 is 56/712.