Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 147/693,436/207,798/396
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 147,436,798
Greatest Common Factor of Numerators i.e. GCF of 147,436,798 is 1 .
LCM of Denominators means LCM of 693,207,396 as per the given fractions.
LCM of 693,207,396 is 63756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 147,436,798
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 147,436,798 . The biggest common factor number is the GCF number.
So the greatest common factor 147,436,798 is 1.
Lets's calculate LCM of 693,207,396
3 | 693, 207, 396 |
3 | 231, 69, 132 |
11 | 77, 23, 44 |
7, 23, 4 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 7 x 23 x 4 = 63756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63756
Therefore, the GCF of Fractions 147/693,436/207,798/396 is 1/63756
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 693,207,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,207,396) = 9
common factors(in case of two or more numbers have common factors) = 99
GCF(693,207,396) x common factors =9 x 99 = 891
LCM(693,207,396) = ( 693 × 207 × 396 ) / 891
LCM(693,207,396) = 56806596 / 891
LCM(693,207,396) = 63756
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 147/693, 436/207, 798/396?
Answer: GCF of Numerators as per given numbers 147/693, 436/207, 798/396 is
GCF of Numerators i.e. for 147,436,798 is 1
LCM of denominators i.e. for 693,207,396 is 63756.
Thus, GCF of Fractions is 1/63756.Finally, GCF of Fractions for 147/693, 436/207, 798/396 is 1/63756.