Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7360/273,8292/6400
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 7360,8292
Greatest Common Factor of Numerators i.e. GCF of 7360,8292 is 4 .
LCM of Denominators means LCM of 273,6400 as per the given fractions.
LCM of 273,6400 is 1747200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7360,8292
2 | 7360, 8292 |
2 | 3680, 4146 |
1840, 2073 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 7360
List of positive integer factors of 7360 that divides 7360 without a remainder.
1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Factors of 8292
List of positive integer factors of 8292 that divides 8292 without a remainder.
1,2,3,4,6,12,691,1382,2073,2764,4146,8292
Greatest Common Factor
We found the factors 7360,8292 . The biggest common factor number is the GCF number.
So the greatest common factor 7360,8292 is 4.
Lets's calculate LCM of 273,6400
Given numbers has no common factors except 1. So, there LCM is their product i.e 1747200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1747200
Therefore, the GCF of Fractions 7360/273,8292/6400 is 4/1747200
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 273,6400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,6400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,6400) x common factors =1 x 1 = 1
LCM(273,6400) = ( 273 × 6400 ) / 1
LCM(273,6400) = 1747200 / 1
LCM(273,6400) = 1747200
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 7360/273, 8292/6400?
Answer: GCF of Numerators as per given numbers 7360/273, 8292/6400 is
GCF of Numerators i.e. for 7360,8292 is 4
LCM of denominators i.e. for 273,6400 is 1747200.
Thus, GCF of Fractions is 4/1747200.Finally, GCF of Fractions for 7360/273, 8292/6400 is 4/1747200.