GCD of 150, 971, 745, 240 Calculator

Given Input numbers are 150, 971, 745, 240

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (150, 971, 745, 240) = 1.

Given numbers are 150, 971, 745, 240

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 971 are 971

Prime factors of 745 are 5 x 149

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 150, 971, 745, 240

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

Apply this formula for all numbers.

Step1:

LCM(150, 971) = 145650

GCD(150, 971) = ( 150 x 971 ) / 145650

= 150 / 971

= 150

Step2:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 150, 971, 745, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 788, 802, 651
• GCD of 516, 667, 402, 578
• GCD of 526, 821, 511, 235
• GCD of 420, 196, 343, 125
• GCD of 815, 971, 258, 496

Given numbers are 150, 971, 745, 240
The greatest common divisor of numbers 150, 971, 745, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 971, 745, 240 is 1.

1. What is the GCD of 150, 971, 745, 240?

GCD of given numbers 150, 971, 745, 240 is 1

2. How to calculate the greatest common divisor of 150, 971, 745, 240?

We can find the highest common divisor of 150, 971, 745, 240 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 150, 971, 745, 240 i.e 1.

3. How can I use the GCD of 150, 971, 745, 240Calculator?

Out the numbers 150, 971, 745, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.