GCD of 558, 680, 735, 977 Calculator

Given Input numbers are 558, 680, 735, 977

In the factoring method, we have to find the divisors of all numbers

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (558, 680, 735, 977) = 1.

Given numbers are 558, 680, 735, 977

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 977 are 977

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 558, 680, 735, 977

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(558, 680) = 189720

GCD(558, 680) = ( 558 x 680 ) / 189720

= 558 / 680

= 558

Step2:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 558, 680, 735, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 355, 397, 711
• GCD of 386, 854, 465, 790
• GCD of 989, 464, 605, 330
• GCD of 707, 284, 130, 158
• GCD of 895, 825, 637, 646

Given numbers are 558, 680, 735, 977
The greatest common divisor of numbers 558, 680, 735, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 680, 735, 977 is 1.

1. What is the GCD of 558, 680, 735, 977?

GCD of given numbers 558, 680, 735, 977 is 1

2. How to calculate the greatest common divisor of 558, 680, 735, 977?

We can find the highest common divisor of 558, 680, 735, 977 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 558, 680, 735, 977 i.e 1.

3. How can I use the GCD of 558, 680, 735, 977Calculator?

Out the numbers 558, 680, 735, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.