Online GCD Calculator is useful to find the GCD of 874, 580, 664, 730 quickly. Get the easiest ways to solve the greatest common divisor of 874, 580, 664, 730 i.e 2 in different methods as follows.
Given Input numbers are 874, 580, 664, 730
In the factoring method, we have to find the divisors of all numbers
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
GCD of numbers is the greatest common divisor
So, the GCD (874, 580, 664, 730) = 2.
Given numbers are 874, 580, 664, 730
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 730 are 2 x 5 x 73
The highest common occurrence is 21
Therefore, GCD of 874, 580, 664, 730 is 2.
Given numbers are 874, 580, 664, 730
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 580) = 253460
GCD(874, 580) = ( 874 x 580 ) / 253460
= 874 / 580
= 874
Step2:
LCM(2, 664) = 664
GCD(2, 664) = ( 2 x 664 ) / 664
= 2 / 664
= 2
Step3:
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
= 2 / 730
= 2
So, Greatest Common Divisor of 874, 580, 664, 730 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 580, 664, 730
The greatest common divisor of numbers 874, 580, 664, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 580, 664, 730 is 2.
1. What is the GCD of 874, 580, 664, 730?
GCD of given numbers 874, 580, 664, 730 is 2
2. How to calculate the greatest common divisor of 874, 580, 664, 730?
We can find the highest common divisor of 874, 580, 664, 730 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 874, 580, 664, 730 i.e 2.
3. How can I use the GCD of 874, 580, 664, 730Calculator?
Out the numbers 874, 580, 664, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.