Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/692,63/792,194/831
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 62,63,194
Greatest Common Factor of Numerators i.e. GCF of 62,63,194 is 1 .
LCM of Denominators means LCM of 692,792,831 as per the given fractions.
LCM of 692,792,831 is 37953432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,63,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 62,63,194 . The biggest common factor number is the GCF number.
So the greatest common factor 62,63,194 is 1.
Lets's calculate LCM of 692,792,831
2 | 692, 792, 831 |
2 | 346, 396, 831 |
3 | 173, 198, 831 |
173, 66, 277 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 173 x 66 x 277 = 37953432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37953432
Therefore, the GCF of Fractions 62/692,63/792,194/831 is 1/37953432
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 692,792,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,792,831) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(692,792,831) x common factors =1 x 12 = 12
LCM(692,792,831) = ( 692 × 792 × 831 ) / 12
LCM(692,792,831) = 455441184 / 12
LCM(692,792,831) = 37953432
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 62/692, 63/792, 194/831?
Answer: GCF of Numerators as per given numbers 62/692, 63/792, 194/831 is
GCF of Numerators i.e. for 62,63,194 is 1
LCM of denominators i.e. for 692,792,831 is 37953432.
Thus, GCF of Fractions is 1/37953432.Finally, GCF of Fractions for 62/692, 63/792, 194/831 is 1/37953432.