GCD of 800, 354, 565, 767 Calculator

Given Input numbers are 800, 354, 565, 767

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

GCD of numbers is the greatest common divisor

So, the GCD (800, 354, 565, 767) = 1.

Given numbers are 800, 354, 565, 767

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 354 are 2 x 3 x 59

Prime factors of 565 are 5 x 113

Prime factors of 767 are 13 x 59

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

Given numbers are 800, 354, 565, 767

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

Apply this formula for all numbers.

Step1:

LCM(800, 354) = 141600

GCD(800, 354) = ( 800 x 354 ) / 141600

= 800 / 354

= 800

Step2:

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

= 2 / 565

= 2

Step3:

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

= 1 / 767

= 1

So, Greatest Common Divisor of 800, 354, 565, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 427, 738, 773
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• GCD of 441, 669, 976, 154
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• GCD of 471, 336, 309, 991

Given numbers are 800, 354, 565, 767
The greatest common divisor of numbers 800, 354, 565, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 354, 565, 767 is 1.

1. What is the GCD of 800, 354, 565, 767?

GCD of given numbers 800, 354, 565, 767 is 1

2. How to calculate the greatest common divisor of 800, 354, 565, 767?

We can find the highest common divisor of 800, 354, 565, 767 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 800, 354, 565, 767 i.e 1.

3. How can I use the GCD of 800, 354, 565, 767Calculator?

Out the numbers 800, 354, 565, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.