Online GCD Calculator is useful to find the GCD of 692, 988, 564, 580 quickly. Get the easiest ways to solve the greatest common divisor of 692, 988, 564, 580 i.e 4 in different methods as follows.
Given Input numbers are 692, 988, 564, 580
In the factoring method, we have to find the divisors of all numbers
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
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 (692, 988, 564, 580) = 4.
Given numbers are 692, 988, 564, 580
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 22
Therefore, GCD of 692, 988, 564, 580 is 4.
Given numbers are 692, 988, 564, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 988) = 170924
GCD(692, 988) = ( 692 x 988 ) / 170924
= 692 / 988
= 692
Step2:
LCM(4, 564) = 564
GCD(4, 564) = ( 4 x 564 ) / 564
= 4 / 564
= 4
Step3:
LCM(4, 580) = 580
GCD(4, 580) = ( 4 x 580 ) / 580
= 4 / 580
= 4
So, Greatest Common Divisor of 692, 988, 564, 580 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 988, 564, 580
The greatest common divisor of numbers 692, 988, 564, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 988, 564, 580 is 4.
1. What is the GCD of 692, 988, 564, 580?
GCD of given numbers 692, 988, 564, 580 is 4
2. How to calculate the greatest common divisor of 692, 988, 564, 580?
We can find the highest common divisor of 692, 988, 564, 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 692, 988, 564, 580 i.e 4.
3. How can I use the GCD of 692, 988, 564, 580Calculator?
Out the numbers 692, 988, 564, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.