GCD of 660, 120, 755, 269 Calculator

Given Input numbers are 660, 120, 755, 269

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 755 :

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

1, 5, 151, 755

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (660, 120, 755, 269) = 1.

Given numbers are 660, 120, 755, 269

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 755 are 5 x 151

Prime factors of 269 are 269

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

Given numbers are 660, 120, 755, 269

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

Apply this formula for all numbers.

Step1:

LCM(660, 120) = 1320

GCD(660, 120) = ( 660 x 120 ) / 1320

= 660 / 120

= 660

Step2:

LCM(60, 755) = 9060

GCD(60, 755) = ( 60 x 755 ) / 9060

= 60 / 755

= 60

Step3:

LCM(5, 269) = 1345

GCD(5, 269) = ( 5 x 269 ) / 1345

= 5 / 269

= 5

So, Greatest Common Divisor of 660, 120, 755, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 740, 928, 220
• GCD of 595, 677, 108, 368
• GCD of 599, 534, 977, 654
• GCD of 691, 694, 791, 963
• GCD of 574, 555, 520, 739

Given numbers are 660, 120, 755, 269
The greatest common divisor of numbers 660, 120, 755, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 120, 755, 269 is 1.

1. What is the GCD of 660, 120, 755, 269?

GCD of given numbers 660, 120, 755, 269 is 1

2. How to calculate the greatest common divisor of 660, 120, 755, 269?

We can find the highest common divisor of 660, 120, 755, 269 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 660, 120, 755, 269 i.e 1.

3. How can I use the GCD of 660, 120, 755, 269Calculator?

Out the numbers 660, 120, 755, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.