GCD of 269, 290, 762, 360 Calculator

Given Input numbers are 269, 290, 762, 360

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

Divisors of 269 :

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

1, 269

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (269, 290, 762, 360) = 1.

Given numbers are 269, 290, 762, 360

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 290 are 2 x 5 x 29

Prime factors of 762 are 2 x 3 x 127

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 269, 290, 762, 360

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

Apply this formula for all numbers.

Step1:

LCM(269, 290) = 78010

GCD(269, 290) = ( 269 x 290 ) / 78010

= 269 / 290

= 269

Step2:

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

= 1 / 762

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 269, 290, 762, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 766, 853, 317
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• GCD of 343, 575, 530, 850
• GCD of 326, 807, 147, 399
• GCD of 798, 637, 442, 520

Given numbers are 269, 290, 762, 360
The greatest common divisor of numbers 269, 290, 762, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 290, 762, 360 is 1.

1. What is the GCD of 269, 290, 762, 360?

GCD of given numbers 269, 290, 762, 360 is 1

2. How to calculate the greatest common divisor of 269, 290, 762, 360?

We can find the highest common divisor of 269, 290, 762, 360 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 269, 290, 762, 360 i.e 1.

3. How can I use the GCD of 269, 290, 762, 360Calculator?

Out the numbers 269, 290, 762, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.