Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3036/14,3582/633
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 3036,3582
Greatest Common Factor of Numerators i.e. GCF of 3036,3582 is 6 .
LCM of Denominators means LCM of 14,633 as per the given fractions.
LCM of 14,633 is 8862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3036,3582
2 | 3036, 3582 |
3 | 1518, 1791 |
506, 597 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 3036
List of positive integer factors of 3036 that divides 3036 without a remainder.
1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036
Factors of 3582
List of positive integer factors of 3582 that divides 3582 without a remainder.
1,2,3,6,9,18,199,398,597,1194,1791,3582
Greatest Common Factor
We found the factors 3036,3582 . The biggest common factor number is the GCF number.
So the greatest common factor 3036,3582 is 6.
Lets's calculate LCM of 14,633
Given numbers has no common factors except 1. So, there LCM is their product i.e 8862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8862
Therefore, the GCF of Fractions 3036/14,3582/633 is 6/8862
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 14,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,633) x common factors =1 x 1 = 1
LCM(14,633) = ( 14 × 633 ) / 1
LCM(14,633) = 8862 / 1
LCM(14,633) = 8862
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 3036/14, 3582/633?
Answer: GCF of Numerators as per given numbers 3036/14, 3582/633 is
GCF of Numerators i.e. for 3036,3582 is 6
LCM of denominators i.e. for 14,633 is 8862.
Thus, GCF of Fractions is 6/8862.Finally, GCF of Fractions for 3036/14, 3582/633 is 6/8862.