Online GCD Calculator is useful to find the GCD of 642, 627, 429, 120 quickly. Get the easiest ways to solve the greatest common divisor of 642, 627, 429, 120 i.e 3 in different methods as follows.
Given Input numbers are 642, 627, 429, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (642, 627, 429, 120) = 3.
Given numbers are 642, 627, 429, 120
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 627 are 3 x 11 x 19
Prime factors of 429 are 3 x 11 x 13
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 642, 627, 429, 120 is 3.
Given numbers are 642, 627, 429, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 627) = 134178
GCD(642, 627) = ( 642 x 627 ) / 134178
= 642 / 627
= 642
Step2:
LCM(3, 429) = 429
GCD(3, 429) = ( 3 x 429 ) / 429
= 3 / 429
= 3
Step3:
LCM(3, 120) = 120
GCD(3, 120) = ( 3 x 120 ) / 120
= 3 / 120
= 3
So, Greatest Common Divisor of 642, 627, 429, 120 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 627, 429, 120
The greatest common divisor of numbers 642, 627, 429, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 627, 429, 120 is 3.
1. What is the GCD of 642, 627, 429, 120?
GCD of given numbers 642, 627, 429, 120 is 3
2. How to calculate the greatest common divisor of 642, 627, 429, 120?
We can find the highest common divisor of 642, 627, 429, 120 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 642, 627, 429, 120 i.e 3.
3. How can I use the GCD of 642, 627, 429, 120Calculator?
Out the numbers 642, 627, 429, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.