Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2975/708,7067/3136
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 2975,7067
Greatest Common Factor of Numerators i.e. GCF of 2975,7067 is 1 .
LCM of Denominators means LCM of 708,3136 as per the given fractions.
LCM of 708,3136 is 555072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2975,7067
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2975
List of positive integer factors of 2975 that divides 2975 without a remainder.
1,5,7,17,25,35,85,119,175,425,595,2975
Factors of 7067
List of positive integer factors of 7067 that divides 7067 without a remainder.
1,37,191,7067
Greatest Common Factor
We found the factors 2975,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 2975,7067 is 1.
Lets's calculate LCM of 708,3136
2 | 708, 3136 |
2 | 354, 1568 |
177, 784 |
∴ So the LCM of the given numbers is 2 x 2 x 177 x 784 = 555072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555072
Therefore, the GCF of Fractions 2975/708,7067/3136 is 1/555072
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 708,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,3136) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(708,3136) x common factors =4 x 1 = 4
LCM(708,3136) = ( 708 × 3136 ) / 4
LCM(708,3136) = 2220288 / 4
LCM(708,3136) = 555072
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 2975/708, 7067/3136?
Answer: GCF of Numerators as per given numbers 2975/708, 7067/3136 is
GCF of Numerators i.e. for 2975,7067 is 1
LCM of denominators i.e. for 708,3136 is 555072.
Thus, GCF of Fractions is 1/555072.Finally, GCF of Fractions for 2975/708, 7067/3136 is 1/555072.