Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/76,54/50,672/31
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 54,54,672
Greatest Common Factor of Numerators i.e. GCF of 54,54,672 is 6 .
LCM of Denominators means LCM of 76,50,31 as per the given fractions.
LCM of 76,50,31 is 58900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,54,672
2 | 54, 54, 672 |
3 | 27, 27, 336 |
9, 9, 112 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 54,54,672 . The biggest common factor number is the GCF number.
So the greatest common factor 54,54,672 is 6.
Lets's calculate LCM of 76,50,31
2 | 76, 50, 31 |
38, 25, 31 |
∴ So the LCM of the given numbers is 2 x 38 x 25 x 31 = 58900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/58900
Therefore, the GCF of Fractions 54/76,54/50,672/31 is 6/58900
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 76,50,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,50,31) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(76,50,31) x common factors =1 x 2 = 2
LCM(76,50,31) = ( 76 × 50 × 31 ) / 2
LCM(76,50,31) = 117800 / 2
LCM(76,50,31) = 58900
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 54/76, 54/50, 672/31?
Answer: GCF of Numerators as per given numbers 54/76, 54/50, 672/31 is
GCF of Numerators i.e. for 54,54,672 is 6
LCM of denominators i.e. for 76,50,31 is 58900.
Thus, GCF of Fractions is 6/58900.Finally, GCF of Fractions for 54/76, 54/50, 672/31 is 6/58900.