GCD of 700, 493, 240, 675 Calculator

Given Input numbers are 700, 493, 240, 675

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 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (700, 493, 240, 675) = 1.

Given numbers are 700, 493, 240, 675

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 493 are 17 x 29

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 700, 493, 240, 675

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

Apply this formula for all numbers.

Step1:

LCM(700, 493) = 345100

GCD(700, 493) = ( 700 x 493 ) / 345100

= 700 / 493

= 700

Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

So, Greatest Common Divisor of 700, 493, 240, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 480, 774, 779
• GCD of 495, 945, 787, 344
• GCD of 243, 108, 851, 220
• GCD of 522, 109, 959, 289
• GCD of 430, 518, 111, 566

Given numbers are 700, 493, 240, 675
The greatest common divisor of numbers 700, 493, 240, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 493, 240, 675 is 1.

1. What is the GCD of 700, 493, 240, 675?

GCD of given numbers 700, 493, 240, 675 is 1

2. How to calculate the greatest common divisor of 700, 493, 240, 675?

We can find the highest common divisor of 700, 493, 240, 675 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, 493, 240, 675 i.e 1.

3. How can I use the GCD of 700, 493, 240, 675Calculator?

Out the numbers 700, 493, 240, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.