GCD of 675, 726, 400, 761 Calculator

Given Input numbers are 675, 726, 400, 761

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

GCD of numbers is the greatest common divisor

So, the GCD (675, 726, 400, 761) = 1.

Given numbers are 675, 726, 400, 761

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 726 are 2 x 3 x 11 x 11

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

Prime factors of 761 are 761

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

Given numbers are 675, 726, 400, 761

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

Apply this formula for all numbers.

Step1:

LCM(675, 726) = 163350

GCD(675, 726) = ( 675 x 726 ) / 163350

= 675 / 726

= 675

Step2:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

Step3:

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

= 1 / 761

= 1

So, Greatest Common Divisor of 675, 726, 400, 761 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 735, 543, 518
• GCD of 946, 216, 139, 541
• GCD of 622, 958, 479, 213
• GCD of 674, 877, 973, 360
• GCD of 369, 199, 951, 511

Given numbers are 675, 726, 400, 761
The greatest common divisor of numbers 675, 726, 400, 761 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 726, 400, 761 is 1.

1. What is the GCD of 675, 726, 400, 761?

GCD of given numbers 675, 726, 400, 761 is 1

2. How to calculate the greatest common divisor of 675, 726, 400, 761?

We can find the highest common divisor of 675, 726, 400, 761 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 675, 726, 400, 761 i.e 1.

3. How can I use the GCD of 675, 726, 400, 761Calculator?

Out the numbers 675, 726, 400, 761 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.