GCD of 150, 742, 460, 860 Calculator

Given Input numbers are 150, 742, 460, 860

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

GCD of numbers is the greatest common divisor

So, the GCD (150, 742, 460, 860) = 2.

Given numbers are 150, 742, 460, 860

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 860 are 2 x 2 x 5 x 43

The highest common occurrence is 2¹

Therefore, GCD of 150, 742, 460, 860 is 2.

Given numbers are 150, 742, 460, 860

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

Apply this formula for all numbers.

Step1:

LCM(150, 742) = 55650

GCD(150, 742) = ( 150 x 742 ) / 55650

= 150 / 742

= 150

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

= 2 / 860

= 2

So, Greatest Common Divisor of 150, 742, 460, 860 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 427, 550, 814
• GCD of 399, 232, 812, 877
• GCD of 304, 142, 254, 927
• GCD of 299, 782, 765, 897
• GCD of 743, 239, 311, 481

Given numbers are 150, 742, 460, 860
The greatest common divisor of numbers 150, 742, 460, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 742, 460, 860 is 2.

1. What is the GCD of 150, 742, 460, 860?

GCD of given numbers 150, 742, 460, 860 is 2

2. How to calculate the greatest common divisor of 150, 742, 460, 860?

We can find the highest common divisor of 150, 742, 460, 860 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, 742, 460, 860 i.e 2.

3. How can I use the GCD of 150, 742, 460, 860Calculator?

Out the numbers 150, 742, 460, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.