Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/72,872/8882
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 648,872
Greatest Common Factor of Numerators i.e. GCF of 648,872 is 8 .
LCM of Denominators means LCM of 72,8882 as per the given fractions.
LCM of 72,8882 is 319752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,872
2 | 648, 872 |
2 | 324, 436 |
2 | 162, 218 |
81, 109 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
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 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 648,872 . The biggest common factor number is the GCF number.
So the greatest common factor 648,872 is 8.
Lets's calculate LCM of 72,8882
2 | 72, 8882 |
36, 4441 |
∴ So the LCM of the given numbers is 2 x 36 x 4441 = 319752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/319752
Therefore, the GCF of Fractions 648/72,872/8882 is 8/319752
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 72,8882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,8882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(72,8882) x common factors =2 x 1 = 2
LCM(72,8882) = ( 72 × 8882 ) / 2
LCM(72,8882) = 639504 / 2
LCM(72,8882) = 319752
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 648/72, 872/8882?
Answer: GCF of Numerators as per given numbers 648/72, 872/8882 is
GCF of Numerators i.e. for 648,872 is 8
LCM of denominators i.e. for 72,8882 is 319752.
Thus, GCF of Fractions is 8/319752.Finally, GCF of Fractions for 648/72, 872/8882 is 8/319752.