Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3588/810,5889/7253
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 3588,5889
Greatest Common Factor of Numerators i.e. GCF of 3588,5889 is 39 .
LCM of Denominators means LCM of 810,7253 as per the given fractions.
LCM of 810,7253 is 5874930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3588,5889
3 | 3588, 5889 |
13 | 1196, 1963 |
92, 151 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Factors of 3588
List of positive integer factors of 3588 that divides 3588 without a remainder.
1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588
Factors of 5889
List of positive integer factors of 5889 that divides 5889 without a remainder.
1,3,13,39,151,453,1963,5889
Greatest Common Factor
We found the factors 3588,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 3588,5889 is 39.
Lets's calculate LCM of 810,7253
Given numbers has no common factors except 1. So, there LCM is their product i.e 5874930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/5874930
Therefore, the GCF of Fractions 3588/810,5889/7253 is 39/5874930
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 810,7253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,7253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,7253) x common factors =1 x 1 = 1
LCM(810,7253) = ( 810 × 7253 ) / 1
LCM(810,7253) = 5874930 / 1
LCM(810,7253) = 5874930
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 3588/810, 5889/7253?
Answer: GCF of Numerators as per given numbers 3588/810, 5889/7253 is
GCF of Numerators i.e. for 3588,5889 is 39
LCM of denominators i.e. for 810,7253 is 5874930.
Thus, GCF of Fractions is 39/5874930.Finally, GCF of Fractions for 3588/810, 5889/7253 is 39/5874930.