GCD of 400, 724, 534, 770 Calculator

Given Input numbers are 400, 724, 534, 770

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 534 :

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

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD of numbers is the greatest common divisor

So, the GCD (400, 724, 534, 770) = 2.

Given numbers are 400, 724, 534, 770

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 724 are 2 x 2 x 181

Prime factors of 534 are 2 x 3 x 89

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 400, 724, 534, 770 is 2.

Given numbers are 400, 724, 534, 770

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

Apply this formula for all numbers.

Step1:

LCM(400, 724) = 72400

GCD(400, 724) = ( 400 x 724 ) / 72400

= 400 / 724

= 400

Step2:

LCM(4, 534) = 1068

GCD(4, 534) = ( 4 x 534 ) / 1068

= 4 / 534

= 4

Step3:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

So, Greatest Common Divisor of 400, 724, 534, 770 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 166, 611, 570
• GCD of 737, 518, 135, 501
• GCD of 258, 446, 494, 453
• GCD of 720, 922, 158, 936
• GCD of 791, 274, 575, 125

Given numbers are 400, 724, 534, 770
The greatest common divisor of numbers 400, 724, 534, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 724, 534, 770 is 2.

1. What is the GCD of 400, 724, 534, 770?

GCD of given numbers 400, 724, 534, 770 is 2

2. How to calculate the greatest common divisor of 400, 724, 534, 770?

We can find the highest common divisor of 400, 724, 534, 770 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 400, 724, 534, 770 i.e 2.

3. How can I use the GCD of 400, 724, 534, 770Calculator?

Out the numbers 400, 724, 534, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.