Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8596/776,8640/9168
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 8596,8640
Greatest Common Factor of Numerators i.e. GCF of 8596,8640 is 4 .
LCM of Denominators means LCM of 776,9168 as per the given fractions.
LCM of 776,9168 is 889296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8596,8640
2 | 8596, 8640 |
2 | 4298, 4320 |
2149, 2160 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8596
List of positive integer factors of 8596 that divides 8596 without a remainder.
1,2,4,7,14,28,307,614,1228,2149,4298,8596
Factors of 8640
List of positive integer factors of 8640 that divides 8640 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640
Greatest Common Factor
We found the factors 8596,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 8596,8640 is 4.
Lets's calculate LCM of 776,9168
2 | 776, 9168 |
2 | 388, 4584 |
2 | 194, 2292 |
97, 1146 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 1146 = 889296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/889296
Therefore, the GCF of Fractions 8596/776,8640/9168 is 4/889296
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 776,9168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,9168) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(776,9168) x common factors =8 x 1 = 8
LCM(776,9168) = ( 776 × 9168 ) / 8
LCM(776,9168) = 7114368 / 8
LCM(776,9168) = 889296
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 8596/776, 8640/9168?
Answer: GCF of Numerators as per given numbers 8596/776, 8640/9168 is
GCF of Numerators i.e. for 8596,8640 is 4
LCM of denominators i.e. for 776,9168 is 889296.
Thus, GCF of Fractions is 4/889296.Finally, GCF of Fractions for 8596/776, 8640/9168 is 4/889296.