Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 584/615,606/421,280/552
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 584,606,280
Greatest Common Factor of Numerators i.e. GCF of 584,606,280 is 2 .
LCM of Denominators means LCM of 615,421,552 as per the given fractions.
LCM of 615,421,552 is 47640360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 584,606,280
2 | 584, 606, 280 |
292, 303, 140 |
∴ So the GCF of the given numbers is 2 = 2
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 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 584,606,280 . The biggest common factor number is the GCF number.
So the greatest common factor 584,606,280 is 2.
Lets's calculate LCM of 615,421,552
3 | 615, 421, 552 |
205, 421, 184 |
∴ So the LCM of the given numbers is 3 x 205 x 421 x 184 = 47640360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47640360
Therefore, the GCF of Fractions 584/615,606/421,280/552 is 2/47640360
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 615,421,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,421,552) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(615,421,552) x common factors =1 x 3 = 3
LCM(615,421,552) = ( 615 × 421 × 552 ) / 3
LCM(615,421,552) = 142921080 / 3
LCM(615,421,552) = 47640360
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 584/615, 606/421, 280/552?
Answer: GCF of Numerators as per given numbers 584/615, 606/421, 280/552 is
GCF of Numerators i.e. for 584,606,280 is 2
LCM of denominators i.e. for 615,421,552 is 47640360.
Thus, GCF of Fractions is 2/47640360.Finally, GCF of Fractions for 584/615, 606/421, 280/552 is 2/47640360.