GCD of 268, 149, 750, 361 Calculator

Given Input numbers are 268, 149, 750, 361

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (268, 149, 750, 361) = 1.

Given numbers are 268, 149, 750, 361

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 149 are 149

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 361 are 19 x 19

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

Given numbers are 268, 149, 750, 361

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

Apply this formula for all numbers.

Step1:

LCM(268, 149) = 39932

GCD(268, 149) = ( 268 x 149 ) / 39932

= 268 / 149

= 268

Step2:

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

= 1 / 750

= 1

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 268, 149, 750, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 269, 129, 253
• GCD of 516, 446, 168, 444
• GCD of 610, 576, 542, 664
• GCD of 645, 119, 327, 551
• GCD of 486, 323, 427, 719

Given numbers are 268, 149, 750, 361
The greatest common divisor of numbers 268, 149, 750, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 149, 750, 361 is 1.

1. What is the GCD of 268, 149, 750, 361?

GCD of given numbers 268, 149, 750, 361 is 1

2. How to calculate the greatest common divisor of 268, 149, 750, 361?

We can find the highest common divisor of 268, 149, 750, 361 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 268, 149, 750, 361 i.e 1.

3. How can I use the GCD of 268, 149, 750, 361Calculator?

Out the numbers 268, 149, 750, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.