GCD of 800, 534, 492, 698 Calculator

Given Input numbers are 800, 534, 492, 698

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 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (800, 534, 492, 698) = 2.

Given numbers are 800, 534, 492, 698

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 534 are 2 x 3 x 89

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 800, 534, 492, 698 is 2.

Given numbers are 800, 534, 492, 698

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

Apply this formula for all numbers.

Step1:

LCM(800, 534) = 213600

GCD(800, 534) = ( 800 x 534 ) / 213600

= 800 / 534

= 800

Step2:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 800, 534, 492, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 693, 453, 744
• GCD of 642, 553, 921, 967
• GCD of 967, 797, 306, 719
• GCD of 790, 739, 903, 893
• GCD of 251, 696, 309, 808

Given numbers are 800, 534, 492, 698
The greatest common divisor of numbers 800, 534, 492, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 534, 492, 698 is 2.

1. What is the GCD of 800, 534, 492, 698?

GCD of given numbers 800, 534, 492, 698 is 2

2. How to calculate the greatest common divisor of 800, 534, 492, 698?

We can find the highest common divisor of 800, 534, 492, 698 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, 534, 492, 698 i.e 2.

3. How can I use the GCD of 800, 534, 492, 698Calculator?

Out the numbers 800, 534, 492, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.