Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8071/480,8220/2048
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 8071,8220
Greatest Common Factor of Numerators i.e. GCF of 8071,8220 is 1 .
LCM of Denominators means LCM of 480,2048 as per the given fractions.
LCM of 480,2048 is 30720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8071,8220
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8071
List of positive integer factors of 8071 that divides 8071 without a remainder.
1,7,1153,8071
Factors of 8220
List of positive integer factors of 8220 that divides 8220 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 8071,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 8071,8220 is 1.
Lets's calculate LCM of 480,2048
2 | 480, 2048 |
2 | 240, 1024 |
2 | 120, 512 |
2 | 60, 256 |
2 | 30, 128 |
15, 64 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 15 x 64 = 30720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30720
Therefore, the GCF of Fractions 8071/480,8220/2048 is 1/30720
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 480,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,2048) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(480,2048) x common factors =32 x 1 = 32
LCM(480,2048) = ( 480 × 2048 ) / 32
LCM(480,2048) = 983040 / 32
LCM(480,2048) = 30720
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 8071/480, 8220/2048?
Answer: GCF of Numerators as per given numbers 8071/480, 8220/2048 is
GCF of Numerators i.e. for 8071,8220 is 1
LCM of denominators i.e. for 480,2048 is 30720.
Thus, GCF of Fractions is 1/30720.Finally, GCF of Fractions for 8071/480, 8220/2048 is 1/30720.