Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 174/91,506/98,900/492
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 174,506,900
Greatest Common Factor of Numerators i.e. GCF of 174,506,900 is 2 .
LCM of Denominators means LCM of 91,98,492 as per the given fractions.
LCM of 91,98,492 is 313404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 174,506,900
2 | 174, 506, 900 |
87, 253, 450 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 174,506,900 . The biggest common factor number is the GCF number.
So the greatest common factor 174,506,900 is 2.
Lets's calculate LCM of 91,98,492
2 | 91, 98, 492 |
7 | 91, 49, 246 |
13, 7, 246 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 7 x 246 = 313404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313404
Therefore, the GCF of Fractions 174/91,506/98,900/492 is 2/313404
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 91,98,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,98,492) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(91,98,492) x common factors =1 x 14 = 14
LCM(91,98,492) = ( 91 × 98 × 492 ) / 14
LCM(91,98,492) = 4387656 / 14
LCM(91,98,492) = 313404
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 174/91, 506/98, 900/492?
Answer: GCF of Numerators as per given numbers 174/91, 506/98, 900/492 is
GCF of Numerators i.e. for 174,506,900 is 2
LCM of denominators i.e. for 91,98,492 is 313404.
Thus, GCF of Fractions is 2/313404.Finally, GCF of Fractions for 174/91, 506/98, 900/492 is 2/313404.