Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 697/62,149/76,838/504
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 697,149,838
Greatest Common Factor of Numerators i.e. GCF of 697,149,838 is 1 .
LCM of Denominators means LCM of 62,76,504 as per the given fractions.
LCM of 62,76,504 is 296856 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 697,149,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 697,149,838 . The biggest common factor number is the GCF number.
So the greatest common factor 697,149,838 is 1.
Lets's calculate LCM of 62,76,504
2 | 62, 76, 504 |
2 | 31, 38, 252 |
31, 19, 126 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 19 x 126 = 296856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296856
Therefore, the GCF of Fractions 697/62,149/76,838/504 is 1/296856
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 62,76,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,76,504) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(62,76,504) x common factors =2 x 4 = 8
LCM(62,76,504) = ( 62 × 76 × 504 ) / 8
LCM(62,76,504) = 2374848 / 8
LCM(62,76,504) = 296856
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 697/62, 149/76, 838/504?
Answer: GCF of Numerators as per given numbers 697/62, 149/76, 838/504 is
GCF of Numerators i.e. for 697,149,838 is 1
LCM of denominators i.e. for 62,76,504 is 296856.
Thus, GCF of Fractions is 1/296856.Finally, GCF of Fractions for 697/62, 149/76, 838/504 is 1/296856.