GCD of 400, 345, 40, 277 Calculator

Given Input numbers are 400, 345, 40, 277

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277

GCD of numbers is the greatest common divisor

So, the GCD (400, 345, 40, 277) = 1.

Given numbers are 400, 345, 40, 277

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 345 are 3 x 5 x 23

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 277 are 277

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

Given numbers are 400, 345, 40, 277

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

Apply this formula for all numbers.

Step1:

LCM(400, 345) = 27600

GCD(400, 345) = ( 400 x 345 ) / 27600

= 400 / 345

= 400

Step2:

LCM(5, 40) = 40

GCD(5, 40) = ( 5 x 40 ) / 40

= 5 / 40

= 5

Step3:

LCM(5, 277) = 1385

GCD(5, 277) = ( 5 x 277 ) / 1385

= 5 / 277

= 5

So, Greatest Common Divisor of 400, 345, 40, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 695, 60, 894
• GCD of 103, 284, 49, 764
• GCD of 956, 662, 87, 286
• GCD of 128, 567, 93, 887
• GCD of 523, 956, 58, 775

Given numbers are 400, 345, 40, 277
The greatest common divisor of numbers 400, 345, 40, 277 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 345, 40, 277 is 1.

1. What is the GCD of 400, 345, 40, 277?

GCD of given numbers 400, 345, 40, 277 is 1

2. How to calculate the greatest common divisor of 400, 345, 40, 277?

We can find the highest common divisor of 400, 345, 40, 277 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, 345, 40, 277 i.e 1.

3. How can I use the GCD of 400, 345, 40, 277Calculator?

Out the numbers 400, 345, 40, 277 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.