GCD of 297, 450, 689, 755 Calculator

Given Input numbers are 297, 450, 689, 755

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

GCD of numbers is the greatest common divisor

So, the GCD (297, 450, 689, 755) = 1.

Given numbers are 297, 450, 689, 755

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 689 are 13 x 53

Prime factors of 755 are 5 x 151

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

Given numbers are 297, 450, 689, 755

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

Apply this formula for all numbers.

Step1:

LCM(297, 450) = 14850

GCD(297, 450) = ( 297 x 450 ) / 14850

= 297 / 450

= 297

Step2:

LCM(9, 689) = 6201

GCD(9, 689) = ( 9 x 689 ) / 6201

= 9 / 689

= 9

Step3:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

So, Greatest Common Divisor of 297, 450, 689, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 834, 464, 823
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• GCD of 959, 489, 508, 314
• GCD of 390, 325, 511, 579
• GCD of 206, 420, 233, 281

Given numbers are 297, 450, 689, 755
The greatest common divisor of numbers 297, 450, 689, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 450, 689, 755 is 1.

1. What is the GCD of 297, 450, 689, 755?

GCD of given numbers 297, 450, 689, 755 is 1

2. How to calculate the greatest common divisor of 297, 450, 689, 755?

We can find the highest common divisor of 297, 450, 689, 755 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 297, 450, 689, 755 i.e 1.

3. How can I use the GCD of 297, 450, 689, 755Calculator?

Out the numbers 297, 450, 689, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.