Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4403/93,3712/153
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 4403,3712
Greatest Common Factor of Numerators i.e. GCF of 4403,3712 is 1 .
LCM of Denominators means LCM of 93,153 as per the given fractions.
LCM of 93,153 is 4743 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4403,3712
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4403
List of positive integer factors of 4403 that divides 4403 without a remainder.
1,7,17,37,119,259,629,4403
Factors of 3712
List of positive integer factors of 3712 that divides 3712 without a remainder.
1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
Greatest Common Factor
We found the factors 4403,3712 . The biggest common factor number is the GCF number.
So the greatest common factor 4403,3712 is 1.
Lets's calculate LCM of 93,153
3 | 93, 153 |
31, 51 |
∴ So the LCM of the given numbers is 3 x 31 x 51 = 4743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4743
Therefore, the GCF of Fractions 4403/93,3712/153 is 1/4743
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 93,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,153) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,153) x common factors =3 x 1 = 3
LCM(93,153) = ( 93 × 153 ) / 3
LCM(93,153) = 14229 / 3
LCM(93,153) = 4743
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 4403/93, 3712/153?
Answer: GCF of Numerators as per given numbers 4403/93, 3712/153 is
GCF of Numerators i.e. for 4403,3712 is 1
LCM of denominators i.e. for 93,153 is 4743.
Thus, GCF of Fractions is 1/4743.Finally, GCF of Fractions for 4403/93, 3712/153 is 1/4743.