Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/291,7400/310
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 382,7400
Greatest Common Factor of Numerators i.e. GCF of 382,7400 is 2 .
LCM of Denominators means LCM of 291,310 as per the given fractions.
LCM of 291,310 is 90210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,7400
2 | 382, 7400 |
191, 3700 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 7400
List of positive integer factors of 7400 that divides 7400 without a remainder.
1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Greatest Common Factor
We found the factors 382,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 382,7400 is 2.
Lets's calculate LCM of 291,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 90210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90210
Therefore, the GCF of Fractions 382/291,7400/310 is 2/90210
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 291,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,310) x common factors =1 x 1 = 1
LCM(291,310) = ( 291 × 310 ) / 1
LCM(291,310) = 90210 / 1
LCM(291,310) = 90210
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 382/291, 7400/310?
Answer: GCF of Numerators as per given numbers 382/291, 7400/310 is
GCF of Numerators i.e. for 382,7400 is 2
LCM of denominators i.e. for 291,310 is 90210.
Thus, GCF of Fractions is 2/90210.Finally, GCF of Fractions for 382/291, 7400/310 is 2/90210.