GCD of 400, 502, 740 Calculator

Given Input numbers are 400, 502, 740

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 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (400, 502, 740) = 2.

Given numbers are 400, 502, 740

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 502 are 2 x 251

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 400, 502, 740 is 2.

Given numbers are 400, 502, 740

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

Apply this formula for all numbers.

Step1:

LCM(400, 502) = 100400

GCD(400, 502) = ( 400 x 502 ) / 100400

= 400 / 502

= 400

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 400, 502, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 464, 582
• GCD of 656, 378, 280
• GCD of 737, 625, 493
• GCD of 343, 392, 552
• GCD of 724, 311, 779

Given numbers are 400, 502, 740
The greatest common divisor of numbers 400, 502, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 502, 740 is 2.

1. What is the GCD of 400, 502, 740?

GCD of given numbers 400, 502, 740 is 2

2. How to calculate the greatest common divisor of 400, 502, 740?

We can find the highest common divisor of 400, 502, 740 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, 502, 740 i.e 2.

3. How can I use the GCD of 400, 502, 740Calculator?

Out the numbers 400, 502, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.