Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/402,62/532,125/252
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 50,62,125
Greatest Common Factor of Numerators i.e. GCF of 50,62,125 is 1 .
LCM of Denominators means LCM of 402,532,252 as per the given fractions.
LCM of 402,532,252 is 320796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,62,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 50,62,125 . The biggest common factor number is the GCF number.
So the greatest common factor 50,62,125 is 1.
Lets's calculate LCM of 402,532,252
2 | 402, 532, 252 |
2 | 201, 266, 126 |
3 | 201, 133, 63 |
7 | 67, 133, 21 |
67, 19, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 67 x 19 x 3 = 320796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320796
Therefore, the GCF of Fractions 50/402,62/532,125/252 is 1/320796
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 402,532,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,532,252) = 2
common factors(in case of two or more numbers have common factors) = 84
GCF(402,532,252) x common factors =2 x 84 = 168
LCM(402,532,252) = ( 402 × 532 × 252 ) / 168
LCM(402,532,252) = 53893728 / 168
LCM(402,532,252) = 320796
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 50/402, 62/532, 125/252?
Answer: GCF of Numerators as per given numbers 50/402, 62/532, 125/252 is
GCF of Numerators i.e. for 50,62,125 is 1
LCM of denominators i.e. for 402,532,252 is 320796.
Thus, GCF of Fractions is 1/320796.Finally, GCF of Fractions for 50/402, 62/532, 125/252 is 1/320796.