GCD of 723, 400, 151, 688 Calculator

Given Input numbers are 723, 400, 151, 688

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 151 :

The positive integer divisors of 151 that completely divides 151 are.

1, 151

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (723, 400, 151, 688) = 1.

Given numbers are 723, 400, 151, 688

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

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

Prime factors of 151 are 151

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 723, 400, 151, 688

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

Apply this formula for all numbers.

Step1:

LCM(723, 400) = 289200

GCD(723, 400) = ( 723 x 400 ) / 289200

= 723 / 400

= 723

Step2:

LCM(1, 151) = 151

GCD(1, 151) = ( 1 x 151 ) / 151

= 1 / 151

= 1

Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

So, Greatest Common Divisor of 723, 400, 151, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 453, 119, 595
• GCD of 346, 226, 726, 557
• GCD of 956, 553, 815, 259
• GCD of 443, 821, 895, 605
• GCD of 262, 909, 956, 452

Given numbers are 723, 400, 151, 688
The greatest common divisor of numbers 723, 400, 151, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 400, 151, 688 is 1.

1. What is the GCD of 723, 400, 151, 688?

GCD of given numbers 723, 400, 151, 688 is 1

2. How to calculate the greatest common divisor of 723, 400, 151, 688?

We can find the highest common divisor of 723, 400, 151, 688 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 723, 400, 151, 688 i.e 1.

3. How can I use the GCD of 723, 400, 151, 688Calculator?

Out the numbers 723, 400, 151, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.