Online GCD Calculator is useful to find the GCD of 852, 777, 453, 642 quickly. Get the easiest ways to solve the greatest common divisor of 852, 777, 453, 642 i.e 3 in different methods as follows.
Given Input numbers are 852, 777, 453, 642
In the factoring method, we have to find the divisors of all numbers
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 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (852, 777, 453, 642) = 3.
Given numbers are 852, 777, 453, 642
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 777 are 3 x 7 x 37
Prime factors of 453 are 3 x 151
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 31
Therefore, GCD of 852, 777, 453, 642 is 3.
Given numbers are 852, 777, 453, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 777) = 220668
GCD(852, 777) = ( 852 x 777 ) / 220668
= 852 / 777
= 852
Step2:
LCM(3, 453) = 453
GCD(3, 453) = ( 3 x 453 ) / 453
= 3 / 453
= 3
Step3:
LCM(3, 642) = 642
GCD(3, 642) = ( 3 x 642 ) / 642
= 3 / 642
= 3
So, Greatest Common Divisor of 852, 777, 453, 642 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 777, 453, 642
The greatest common divisor of numbers 852, 777, 453, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 777, 453, 642 is 3.
1. What is the GCD of 852, 777, 453, 642?
GCD of given numbers 852, 777, 453, 642 is 3
2. How to calculate the greatest common divisor of 852, 777, 453, 642?
We can find the highest common divisor of 852, 777, 453, 642 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 852, 777, 453, 642 i.e 3.
3. How can I use the GCD of 852, 777, 453, 642Calculator?
Out the numbers 852, 777, 453, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.