Online GCD Calculator is useful to find the GCD of 262, 520, 708, 580 quickly. Get the easiest ways to solve the greatest common divisor of 262, 520, 708, 580 i.e 2 in different methods as follows.
Given Input numbers are 262, 520, 708, 580
In the factoring method, we have to find the divisors of all numbers
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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
GCD of numbers is the greatest common divisor
So, the GCD (262, 520, 708, 580) = 2.
Given numbers are 262, 520, 708, 580
The list of prime factors of all numbers are
Prime factors of 262 are 2 x 131
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 262, 520, 708, 580 is 2.
Given numbers are 262, 520, 708, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(262, 520) = 68120
GCD(262, 520) = ( 262 x 520 ) / 68120
= 262 / 520
= 262
Step2:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
Step3:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
So, Greatest Common Divisor of 262, 520, 708, 580 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 262, 520, 708, 580
The greatest common divisor of numbers 262, 520, 708, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 262, 520, 708, 580 is 2.
1. What is the GCD of 262, 520, 708, 580?
GCD of given numbers 262, 520, 708, 580 is 2
2. How to calculate the greatest common divisor of 262, 520, 708, 580?
We can find the highest common divisor of 262, 520, 708, 580 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 262, 520, 708, 580 i.e 2.
3. How can I use the GCD of 262, 520, 708, 580Calculator?
Out the numbers 262, 520, 708, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.