Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 157/62,732/31,545/818
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 157,732,545
Greatest Common Factor of Numerators i.e. GCF of 157,732,545 is 1 .
LCM of Denominators means LCM of 62,31,818 as per the given fractions.
LCM of 62,31,818 is 25358 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 157,732,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 157,732,545 . The biggest common factor number is the GCF number.
So the greatest common factor 157,732,545 is 1.
Lets's calculate LCM of 62,31,818
2 | 62, 31, 818 |
31 | 31, 31, 409 |
1, 1, 409 |
∴ So the LCM of the given numbers is 2 x 31 x 1 x 1 x 409 = 25358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25358
Therefore, the GCF of Fractions 157/62,732/31,545/818 is 1/25358
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 62,31,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,31,818) = 1
common factors(in case of two or more numbers have common factors) = 62
GCF(62,31,818) x common factors =1 x 62 = 62
LCM(62,31,818) = ( 62 × 31 × 818 ) / 62
LCM(62,31,818) = 1572196 / 62
LCM(62,31,818) = 25358
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 157/62, 732/31, 545/818?
Answer: GCF of Numerators as per given numbers 157/62, 732/31, 545/818 is
GCF of Numerators i.e. for 157,732,545 is 1
LCM of denominators i.e. for 62,31,818 is 25358.
Thus, GCF of Fractions is 1/25358.Finally, GCF of Fractions for 157/62, 732/31, 545/818 is 1/25358.