GCD of 700, 560, 178, 689 Calculator

Given Input numbers are 700, 560, 178, 689

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (700, 560, 178, 689) = 1.

Given numbers are 700, 560, 178, 689

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 178 are 2 x 89

Prime factors of 689 are 13 x 53

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

Given numbers are 700, 560, 178, 689

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

Apply this formula for all numbers.

Step1:

LCM(700, 560) = 2800

GCD(700, 560) = ( 700 x 560 ) / 2800

= 700 / 560

= 700

Step2:

LCM(140, 178) = 12460

GCD(140, 178) = ( 140 x 178 ) / 12460

= 140 / 178

= 140

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 700, 560, 178, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 575, 692, 145
• GCD of 733, 503, 147, 186
• GCD of 458, 618, 887, 201
• GCD of 413, 153, 575, 969
• GCD of 935, 854, 290, 114

Given numbers are 700, 560, 178, 689
The greatest common divisor of numbers 700, 560, 178, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 560, 178, 689 is 1.

1. What is the GCD of 700, 560, 178, 689?

GCD of given numbers 700, 560, 178, 689 is 1

2. How to calculate the greatest common divisor of 700, 560, 178, 689?

We can find the highest common divisor of 700, 560, 178, 689 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 700, 560, 178, 689 i.e 1.

3. How can I use the GCD of 700, 560, 178, 689Calculator?

Out the numbers 700, 560, 178, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.