GCD of 507, 700, 200, 705 Calculator

Given Input numbers are 507, 700, 200, 705

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (507, 700, 200, 705) = 1.

Given numbers are 507, 700, 200, 705

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 507, 700, 200, 705

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

Apply this formula for all numbers.

Step1:

LCM(507, 700) = 354900

GCD(507, 700) = ( 507 x 700 ) / 354900

= 507 / 700

= 507

Step2:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 507, 700, 200, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 353, 662, 511
• GCD of 812, 768, 491, 571
• GCD of 416, 984, 109, 892
• GCD of 243, 303, 530, 914
• GCD of 225, 664, 922, 225

Given numbers are 507, 700, 200, 705
The greatest common divisor of numbers 507, 700, 200, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 700, 200, 705 is 1.

1. What is the GCD of 507, 700, 200, 705?

GCD of given numbers 507, 700, 200, 705 is 1

2. How to calculate the greatest common divisor of 507, 700, 200, 705?

We can find the highest common divisor of 507, 700, 200, 705 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 507, 700, 200, 705 i.e 1.

3. How can I use the GCD of 507, 700, 200, 705Calculator?

Out the numbers 507, 700, 200, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.