Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 584/269,5360/6991
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 584,5360
Greatest Common Factor of Numerators i.e. GCF of 584,5360 is 8 .
LCM of Denominators means LCM of 269,6991 as per the given fractions.
LCM of 269,6991 is 1880579 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 584,5360
2 | 584, 5360 |
2 | 292, 2680 |
2 | 146, 1340 |
73, 670 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Factors of 5360
List of positive integer factors of 5360 that divides 5360 without a remainder.
1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360
Greatest Common Factor
We found the factors 584,5360 . The biggest common factor number is the GCF number.
So the greatest common factor 584,5360 is 8.
Lets's calculate LCM of 269,6991
Given numbers has no common factors except 1. So, there LCM is their product i.e 1880579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1880579
Therefore, the GCF of Fractions 584/269,5360/6991 is 8/1880579
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 269,6991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,6991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,6991) x common factors =1 x 1 = 1
LCM(269,6991) = ( 269 × 6991 ) / 1
LCM(269,6991) = 1880579 / 1
LCM(269,6991) = 1880579
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 584/269, 5360/6991?
Answer: GCF of Numerators as per given numbers 584/269, 5360/6991 is
GCF of Numerators i.e. for 584,5360 is 8
LCM of denominators i.e. for 269,6991 is 1880579.
Thus, GCF of Fractions is 8/1880579.Finally, GCF of Fractions for 584/269, 5360/6991 is 8/1880579.