GCD of 577, 489, 340, 700 Calculator

Given Input numbers are 577, 489, 340, 700

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

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

GCD of numbers is the greatest common divisor

So, the GCD (577, 489, 340, 700) = 1.

Given numbers are 577, 489, 340, 700

The list of prime factors of all numbers are

Prime factors of 577 are 577

Prime factors of 489 are 3 x 163

Prime factors of 340 are 2 x 2 x 5 x 17

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

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

Given numbers are 577, 489, 340, 700

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

Apply this formula for all numbers.

Step1:

LCM(577, 489) = 282153

GCD(577, 489) = ( 577 x 489 ) / 282153

= 577 / 489

= 577

Step2:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 577, 489, 340, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 329, 697, 191
• GCD of 107, 508, 552, 292
• GCD of 199, 218, 208, 141
• GCD of 619, 646, 215, 754
• GCD of 563, 561, 196, 362

Given numbers are 577, 489, 340, 700
The greatest common divisor of numbers 577, 489, 340, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 577, 489, 340, 700 is 1.

1. What is the GCD of 577, 489, 340, 700?

GCD of given numbers 577, 489, 340, 700 is 1

2. How to calculate the greatest common divisor of 577, 489, 340, 700?

We can find the highest common divisor of 577, 489, 340, 700 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 577, 489, 340, 700 i.e 1.

3. How can I use the GCD of 577, 489, 340, 700Calculator?

Out the numbers 577, 489, 340, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.