Online GCD Calculator is useful to find the GCD of 453, 702, 789, 147 quickly. Get the easiest ways to solve the greatest common divisor of 453, 702, 789, 147 i.e 3 in different methods as follows.
Given Input numbers are 453, 702, 789, 147
In the factoring method, we have to find the divisors of all numbers
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (453, 702, 789, 147) = 3.
Given numbers are 453, 702, 789, 147
The list of prime factors of all numbers are
Prime factors of 453 are 3 x 151
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 789 are 3 x 263
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 453, 702, 789, 147 is 3.
Given numbers are 453, 702, 789, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(453, 702) = 106002
GCD(453, 702) = ( 453 x 702 ) / 106002
= 453 / 702
= 453
Step2:
LCM(3, 789) = 789
GCD(3, 789) = ( 3 x 789 ) / 789
= 3 / 789
= 3
Step3:
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
= 3 / 147
= 3
So, Greatest Common Divisor of 453, 702, 789, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 453, 702, 789, 147
The greatest common divisor of numbers 453, 702, 789, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 453, 702, 789, 147 is 3.
1. What is the GCD of 453, 702, 789, 147?
GCD of given numbers 453, 702, 789, 147 is 3
2. How to calculate the greatest common divisor of 453, 702, 789, 147?
We can find the highest common divisor of 453, 702, 789, 147 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 453, 702, 789, 147 i.e 3.
3. How can I use the GCD of 453, 702, 789, 147Calculator?
Out the numbers 453, 702, 789, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.