Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3036/325,4624/851
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 3036,4624
Greatest Common Factor of Numerators i.e. GCF of 3036,4624 is 4 .
LCM of Denominators means LCM of 325,851 as per the given fractions.
LCM of 325,851 is 276575 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3036,4624
2 | 3036, 4624 |
2 | 1518, 2312 |
759, 1156 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 4624
List of positive integer factors of 4624 that divides 4624 without a remainder.
1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
Greatest Common Factor
We found the factors 3036,4624 . The biggest common factor number is the GCF number.
So the greatest common factor 3036,4624 is 4.
Lets's calculate LCM of 325,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 276575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/276575
Therefore, the GCF of Fractions 3036/325,4624/851 is 4/276575
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 325,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,851) x common factors =1 x 1 = 1
LCM(325,851) = ( 325 × 851 ) / 1
LCM(325,851) = 276575 / 1
LCM(325,851) = 276575
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 3036/325, 4624/851?
Answer: GCF of Numerators as per given numbers 3036/325, 4624/851 is
GCF of Numerators i.e. for 3036,4624 is 4
LCM of denominators i.e. for 325,851 is 276575.
Thus, GCF of Fractions is 4/276575.Finally, GCF of Fractions for 3036/325, 4624/851 is 4/276575.