Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/732,4557/8246
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 139,4557
Greatest Common Factor of Numerators i.e. GCF of 139,4557 is 1 .
LCM of Denominators means LCM of 732,8246 as per the given fractions.
LCM of 732,8246 is 3018036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 139,4557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 4557
List of positive integer factors of 4557 that divides 4557 without a remainder.
1,3,7,21,31,49,93,147,217,651,1519,4557
Greatest Common Factor
We found the factors 139,4557 . The biggest common factor number is the GCF number.
So the greatest common factor 139,4557 is 1.
Lets's calculate LCM of 732,8246
2 | 732, 8246 |
366, 4123 |
∴ So the LCM of the given numbers is 2 x 366 x 4123 = 3018036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3018036
Therefore, the GCF of Fractions 139/732,4557/8246 is 1/3018036
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 732,8246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,8246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(732,8246) x common factors =2 x 1 = 2
LCM(732,8246) = ( 732 × 8246 ) / 2
LCM(732,8246) = 6036072 / 2
LCM(732,8246) = 3018036
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 139/732, 4557/8246?
Answer: GCF of Numerators as per given numbers 139/732, 4557/8246 is
GCF of Numerators i.e. for 139,4557 is 1
LCM of denominators i.e. for 732,8246 is 3018036.
Thus, GCF of Fractions is 1/3018036.Finally, GCF of Fractions for 139/732, 4557/8246 is 1/3018036.