Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 74/84,94/51,25/44,58/153
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 74,94,25,58
Greatest Common Factor of Numerators i.e. GCF of 74,94,25,58 is 1 .
LCM of Denominators means LCM of 84,51,44,153 as per the given fractions.
LCM of 84,51,44,153 is 47124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 74,94,25,58
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Greatest Common Factor
We found the factors 74,94,25,58 . The biggest common factor number is the GCF number.
So the greatest common factor 74,94,25,58 is 1.
Lets's calculate LCM of 84,51,44,153
2 | 84, 51, 44, 153 |
2 | 42, 51, 22, 153 |
3 | 21, 51, 11, 153 |
17 | 7, 17, 11, 51 |
7, 1, 11, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 7 x 1 x 11 x 3 = 47124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47124
Therefore, the GCF of Fractions 74/84,94/51,25/44,58/153 is 1/47124
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 84,51,44,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,51,44,153) = 1
common factors(in case of two or more numbers have common factors) = 612
GCF(84,51,44,153) x common factors =1 x 612 = 612
LCM(84,51,44,153) = ( 84 × 51 × 44 × 153 ) / 612
LCM(84,51,44,153) = 28839888 / 612
LCM(84,51,44,153) = 47124
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 74/84, 94/51, 25/44, 58/153?
Answer: GCF of Numerators as per given numbers 74/84, 94/51, 25/44, 58/153 is
GCF of Numerators i.e. for 74,94,25,58 is 1
LCM of denominators i.e. for 84,51,44,153 is 47124.
Thus, GCF of Fractions is 1/47124.Finally, GCF of Fractions for 74/84, 94/51, 25/44, 58/153 is 1/47124.