Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5888/416,2354/853
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 5888,2354
Greatest Common Factor of Numerators i.e. GCF of 5888,2354 is 2 .
LCM of Denominators means LCM of 416,853 as per the given fractions.
LCM of 416,853 is 354848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5888,2354
2 | 5888, 2354 |
2944, 1177 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5888
List of positive integer factors of 5888 that divides 5888 without a remainder.
1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888
Factors of 2354
List of positive integer factors of 2354 that divides 2354 without a remainder.
1,2,11,22,107,214,1177,2354
Greatest Common Factor
We found the factors 5888,2354 . The biggest common factor number is the GCF number.
So the greatest common factor 5888,2354 is 2.
Lets's calculate LCM of 416,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 354848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/354848
Therefore, the GCF of Fractions 5888/416,2354/853 is 2/354848
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 416,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,853) x common factors =1 x 1 = 1
LCM(416,853) = ( 416 × 853 ) / 1
LCM(416,853) = 354848 / 1
LCM(416,853) = 354848
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 5888/416, 2354/853?
Answer: GCF of Numerators as per given numbers 5888/416, 2354/853 is
GCF of Numerators i.e. for 5888,2354 is 2
LCM of denominators i.e. for 416,853 is 354848.
Thus, GCF of Fractions is 2/354848.Finally, GCF of Fractions for 5888/416, 2354/853 is 2/354848.