Online GCD Calculator is useful to find the GCD of 705, 423, 852, 453 quickly. Get the easiest ways to solve the greatest common divisor of 705, 423, 852, 453 i.e 3 in different methods as follows.
Given Input numbers are 705, 423, 852, 453
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
GCD of numbers is the greatest common divisor
So, the GCD (705, 423, 852, 453) = 3.
Given numbers are 705, 423, 852, 453
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 423 are 3 x 3 x 47
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 453 are 3 x 151
The highest common occurrence is 31
Therefore, GCD of 705, 423, 852, 453 is 3.
Given numbers are 705, 423, 852, 453
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 423) = 2115
GCD(705, 423) = ( 705 x 423 ) / 2115
= 705 / 423
= 705
Step2:
LCM(141, 852) = 40044
GCD(141, 852) = ( 141 x 852 ) / 40044
= 141 / 852
= 141
Step3:
LCM(3, 453) = 453
GCD(3, 453) = ( 3 x 453 ) / 453
= 3 / 453
= 3
So, Greatest Common Divisor of 705, 423, 852, 453 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 423, 852, 453
The greatest common divisor of numbers 705, 423, 852, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 423, 852, 453 is 3.
1. What is the GCD of 705, 423, 852, 453?
GCD of given numbers 705, 423, 852, 453 is 3
2. How to calculate the greatest common divisor of 705, 423, 852, 453?
We can find the highest common divisor of 705, 423, 852, 453 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 705, 423, 852, 453 i.e 3.
3. How can I use the GCD of 705, 423, 852, 453Calculator?
Out the numbers 705, 423, 852, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.