Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 701/11,648/3575
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 701,648
Greatest Common Factor of Numerators i.e. GCF of 701,648 is 1 .
LCM of Denominators means LCM of 11,3575 as per the given fractions.
LCM of 11,3575 is 3575 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 701,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 701,648 . The biggest common factor number is the GCF number.
So the greatest common factor 701,648 is 1.
Lets's calculate LCM of 11,3575
11 | 11, 3575 |
1, 325 |
∴ So the LCM of the given numbers is 11 x 1 x 325 = 3575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3575
Therefore, the GCF of Fractions 701/11,648/3575 is 1/3575
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 11,3575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,3575) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(11,3575) x common factors =11 x 1 = 11
LCM(11,3575) = ( 11 × 3575 ) / 11
LCM(11,3575) = 39325 / 11
LCM(11,3575) = 3575
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 701/11, 648/3575?
Answer: GCF of Numerators as per given numbers 701/11, 648/3575 is
GCF of Numerators i.e. for 701,648 is 1
LCM of denominators i.e. for 11,3575 is 3575.
Thus, GCF of Fractions is 1/3575.Finally, GCF of Fractions for 701/11, 648/3575 is 1/3575.