Online GCD Calculator is useful to find the GCD of 420, 639, 150, 528 quickly. Get the easiest ways to solve the greatest common divisor of 420, 639, 150, 528 i.e 3 in different methods as follows.
Given Input numbers are 420, 639, 150, 528
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 639 :
The positive integer divisors of 639 that completely divides 639 are.
1, 3, 9, 71, 213, 639
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
GCD of numbers is the greatest common divisor
So, the GCD (420, 639, 150, 528) = 3.
Given numbers are 420, 639, 150, 528
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 639 are 3 x 3 x 71
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 420, 639, 150, 528 is 3.
Given numbers are 420, 639, 150, 528
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 639) = 89460
GCD(420, 639) = ( 420 x 639 ) / 89460
= 420 / 639
= 420
Step2:
LCM(3, 150) = 150
GCD(3, 150) = ( 3 x 150 ) / 150
= 3 / 150
= 3
Step3:
LCM(3, 528) = 528
GCD(3, 528) = ( 3 x 528 ) / 528
= 3 / 528
= 3
So, Greatest Common Divisor of 420, 639, 150, 528 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 639, 150, 528
The greatest common divisor of numbers 420, 639, 150, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 639, 150, 528 is 3.
1. What is the GCD of 420, 639, 150, 528?
GCD of given numbers 420, 639, 150, 528 is 3
2. How to calculate the greatest common divisor of 420, 639, 150, 528?
We can find the highest common divisor of 420, 639, 150, 528 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 420, 639, 150, 528 i.e 3.
3. How can I use the GCD of 420, 639, 150, 528Calculator?
Out the numbers 420, 639, 150, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.