Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4218/691,4584/2150
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 4218,4584
Greatest Common Factor of Numerators i.e. GCF of 4218,4584 is 6 .
LCM of Denominators means LCM of 691,2150 as per the given fractions.
LCM of 691,2150 is 1485650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4218,4584
2 | 4218, 4584 |
3 | 2109, 2292 |
703, 764 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4218
List of positive integer factors of 4218 that divides 4218 without a remainder.
1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Factors of 4584
List of positive integer factors of 4584 that divides 4584 without a remainder.
1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584
Greatest Common Factor
We found the factors 4218,4584 . The biggest common factor number is the GCF number.
So the greatest common factor 4218,4584 is 6.
Lets's calculate LCM of 691,2150
Given numbers has no common factors except 1. So, there LCM is their product i.e 1485650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1485650
Therefore, the GCF of Fractions 4218/691,4584/2150 is 6/1485650
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 691,2150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,2150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,2150) x common factors =1 x 1 = 1
LCM(691,2150) = ( 691 × 2150 ) / 1
LCM(691,2150) = 1485650 / 1
LCM(691,2150) = 1485650
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 4218/691, 4584/2150?
Answer: GCF of Numerators as per given numbers 4218/691, 4584/2150 is
GCF of Numerators i.e. for 4218,4584 is 6
LCM of denominators i.e. for 691,2150 is 1485650.
Thus, GCF of Fractions is 6/1485650.Finally, GCF of Fractions for 4218/691, 4584/2150 is 6/1485650.