GCD of 791, 362, 705, 200 Calculator

Given Input numbers are 791, 362, 705, 200

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

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 705 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (791, 362, 705, 200) = 1.

Given numbers are 791, 362, 705, 200

The list of prime factors of all numbers are

Prime factors of 791 are 7 x 113

Prime factors of 362 are 2 x 181

Prime factors of 705 are 3 x 5 x 47

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

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

Given numbers are 791, 362, 705, 200

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

Apply this formula for all numbers.

Step1:

LCM(791, 362) = 286342

GCD(791, 362) = ( 791 x 362 ) / 286342

= 791 / 362

= 791

Step2:

LCM(1, 705) = 705

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

= 1 / 705

= 1

Step3:

LCM(1, 200) = 200

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

= 1 / 200

= 1

So, Greatest Common Divisor of 791, 362, 705, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 869, 522, 348
• GCD of 896, 382, 855, 930
• GCD of 350, 416, 138, 776
• GCD of 545, 291, 718, 579
• GCD of 737, 324, 674, 892

Given numbers are 791, 362, 705, 200
The greatest common divisor of numbers 791, 362, 705, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 791, 362, 705, 200 is 1.

1. What is the GCD of 791, 362, 705, 200?

GCD of given numbers 791, 362, 705, 200 is 1

2. How to calculate the greatest common divisor of 791, 362, 705, 200?

We can find the highest common divisor of 791, 362, 705, 200 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 791, 362, 705, 200 i.e 1.

3. How can I use the GCD of 791, 362, 705, 200Calculator?

Out the numbers 791, 362, 705, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.