Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 752/28,648/57,644/419
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 752,648,644
Greatest Common Factor of Numerators i.e. GCF of 752,648,644 is 4 .
LCM of Denominators means LCM of 28,57,419 as per the given fractions.
LCM of 28,57,419 is 668724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 752,648,644
2 | 752, 648, 644 |
2 | 376, 324, 322 |
188, 162, 161 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
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
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 752,648,644 . The biggest common factor number is the GCF number.
So the greatest common factor 752,648,644 is 4.
Lets's calculate LCM of 28,57,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 668724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/668724
Therefore, the GCF of Fractions 752/28,648/57,644/419 is 4/668724
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 28,57,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,57,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,57,419) x common factors =1 x 1 = 1
LCM(28,57,419) = ( 28 × 57 × 419 ) / 1
LCM(28,57,419) = 668724 / 1
LCM(28,57,419) = 668724
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 752/28, 648/57, 644/419?
Answer: GCF of Numerators as per given numbers 752/28, 648/57, 644/419 is
GCF of Numerators i.e. for 752,648,644 is 4
LCM of denominators i.e. for 28,57,419 is 668724.
Thus, GCF of Fractions is 4/668724.Finally, GCF of Fractions for 752/28, 648/57, 644/419 is 4/668724.