Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3583/675,4170/5375
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 3583,4170
Greatest Common Factor of Numerators i.e. GCF of 3583,4170 is 1 .
LCM of Denominators means LCM of 675,5375 as per the given fractions.
LCM of 675,5375 is 145125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3583,4170
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3583
List of positive integer factors of 3583 that divides 3583 without a remainder.
1,3583
Factors of 4170
List of positive integer factors of 4170 that divides 4170 without a remainder.
1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 3583,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 3583,4170 is 1.
Lets's calculate LCM of 675,5375
5 | 675, 5375 |
5 | 135, 1075 |
27, 215 |
∴ So the LCM of the given numbers is 5 x 5 x 27 x 215 = 145125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145125
Therefore, the GCF of Fractions 3583/675,4170/5375 is 1/145125
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 675,5375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,5375) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(675,5375) x common factors =25 x 1 = 25
LCM(675,5375) = ( 675 × 5375 ) / 25
LCM(675,5375) = 3628125 / 25
LCM(675,5375) = 145125
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 3583/675, 4170/5375?
Answer: GCF of Numerators as per given numbers 3583/675, 4170/5375 is
GCF of Numerators i.e. for 3583,4170 is 1
LCM of denominators i.e. for 675,5375 is 145125.
Thus, GCF of Fractions is 1/145125.Finally, GCF of Fractions for 3583/675, 4170/5375 is 1/145125.