Online GCD Calculator is useful to find the GCD of 880, 600, 402, 300 quickly. Get the easiest ways to solve the greatest common divisor of 880, 600, 402, 300 i.e 2 in different methods as follows.
Given Input numbers are 880, 600, 402, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (880, 600, 402, 300) = 2.
Given numbers are 880, 600, 402, 300
The list of prime factors of all numbers are
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 402 are 2 x 3 x 67
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 880, 600, 402, 300 is 2.
Given numbers are 880, 600, 402, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 600) = 13200
GCD(880, 600) = ( 880 x 600 ) / 13200
= 880 / 600
= 880
Step2:
LCM(40, 402) = 8040
GCD(40, 402) = ( 40 x 402 ) / 8040
= 40 / 402
= 40
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 880, 600, 402, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 600, 402, 300
The greatest common divisor of numbers 880, 600, 402, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 600, 402, 300 is 2.
1. What is the GCD of 880, 600, 402, 300?
GCD of given numbers 880, 600, 402, 300 is 2
2. How to calculate the greatest common divisor of 880, 600, 402, 300?
We can find the highest common divisor of 880, 600, 402, 300 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 880, 600, 402, 300 i.e 2.
3. How can I use the GCD of 880, 600, 402, 300Calculator?
Out the numbers 880, 600, 402, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.