Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1576/920,6642/1587
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 1576,6642
Greatest Common Factor of Numerators i.e. GCF of 1576,6642 is 2 .
LCM of Denominators means LCM of 920,1587 as per the given fractions.
LCM of 920,1587 is 63480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1576,6642
2 | 1576, 6642 |
788, 3321 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1576
List of positive integer factors of 1576 that divides 1576 without a remainder.
1,2,4,8,197,394,788,1576
Factors of 6642
List of positive integer factors of 6642 that divides 6642 without a remainder.
1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642
Greatest Common Factor
We found the factors 1576,6642 . The biggest common factor number is the GCF number.
So the greatest common factor 1576,6642 is 2.
Lets's calculate LCM of 920,1587
23 | 920, 1587 |
40, 69 |
∴ So the LCM of the given numbers is 23 x 40 x 69 = 63480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63480
Therefore, the GCF of Fractions 1576/920,6642/1587 is 2/63480
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 920,1587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,1587) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(920,1587) x common factors =23 x 1 = 23
LCM(920,1587) = ( 920 × 1587 ) / 23
LCM(920,1587) = 1460040 / 23
LCM(920,1587) = 63480
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 1576/920, 6642/1587?
Answer: GCF of Numerators as per given numbers 1576/920, 6642/1587 is
GCF of Numerators i.e. for 1576,6642 is 2
LCM of denominators i.e. for 920,1587 is 63480.
Thus, GCF of Fractions is 2/63480.Finally, GCF of Fractions for 1576/920, 6642/1587 is 2/63480.