GCD of 464, 954, 150, 354 Calculator

Given Input numbers are 464, 954, 150, 354

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (464, 954, 150, 354) = 2.

Given numbers are 464, 954, 150, 354

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 954 are 2 x 3 x 3 x 53

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 464, 954, 150, 354 is 2.

Given numbers are 464, 954, 150, 354

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

Apply this formula for all numbers.

Step1:

LCM(464, 954) = 221328

GCD(464, 954) = ( 464 x 954 ) / 221328

= 464 / 954

= 464

Step2:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 464, 954, 150, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 677, 651, 189
• GCD of 382, 736, 805, 141
• GCD of 665, 291, 439, 239
• GCD of 279, 487, 338, 693
• GCD of 191, 458, 742, 297

Given numbers are 464, 954, 150, 354
The greatest common divisor of numbers 464, 954, 150, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 954, 150, 354 is 2.

1. What is the GCD of 464, 954, 150, 354?

GCD of given numbers 464, 954, 150, 354 is 2

2. How to calculate the greatest common divisor of 464, 954, 150, 354?

We can find the highest common divisor of 464, 954, 150, 354 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 464, 954, 150, 354 i.e 2.

3. How can I use the GCD of 464, 954, 150, 354Calculator?

Out the numbers 464, 954, 150, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.