Online GCD Calculator is useful to find the GCD of 630, 570, 265, 280 quickly. Get the easiest ways to solve the greatest common divisor of 630, 570, 265, 280 i.e 5 in different methods as follows.
Given Input numbers are 630, 570, 265, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (630, 570, 265, 280) = 5.
Given numbers are 630, 570, 265, 280
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 265 are 5 x 53
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 630, 570, 265, 280 is 5.
Given numbers are 630, 570, 265, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 570) = 11970
GCD(630, 570) = ( 630 x 570 ) / 11970
= 630 / 570
= 630
Step2:
LCM(30, 265) = 1590
GCD(30, 265) = ( 30 x 265 ) / 1590
= 30 / 265
= 30
Step3:
LCM(5, 280) = 280
GCD(5, 280) = ( 5 x 280 ) / 280
= 5 / 280
= 5
So, Greatest Common Divisor of 630, 570, 265, 280 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 570, 265, 280
The greatest common divisor of numbers 630, 570, 265, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 570, 265, 280 is 5.
1. What is the GCD of 630, 570, 265, 280?
GCD of given numbers 630, 570, 265, 280 is 5
2. How to calculate the greatest common divisor of 630, 570, 265, 280?
We can find the highest common divisor of 630, 570, 265, 280 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 630, 570, 265, 280 i.e 5.
3. How can I use the GCD of 630, 570, 265, 280Calculator?
Out the numbers 630, 570, 265, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.