GCD of 462, 542, 954, 350 Calculator

Given Input numbers are 462, 542, 954, 350

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (462, 542, 954, 350) = 2.

Given numbers are 462, 542, 954, 350

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 542 are 2 x 271

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

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 462, 542, 954, 350 is 2.

Given numbers are 462, 542, 954, 350

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

Apply this formula for all numbers.

Step1:

LCM(462, 542) = 125202

GCD(462, 542) = ( 462 x 542 ) / 125202

= 462 / 542

= 462

Step2:

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

= 2 / 954

= 2

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 462, 542, 954, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 742, 815, 858
• GCD of 911, 698, 902, 415
• GCD of 333, 221, 733, 125
• GCD of 356, 733, 519, 836
• GCD of 805, 644, 866, 794

Given numbers are 462, 542, 954, 350
The greatest common divisor of numbers 462, 542, 954, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 542, 954, 350 is 2.

1. What is the GCD of 462, 542, 954, 350?

GCD of given numbers 462, 542, 954, 350 is 2

2. How to calculate the greatest common divisor of 462, 542, 954, 350?

We can find the highest common divisor of 462, 542, 954, 350 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 462, 542, 954, 350 i.e 2.

3. How can I use the GCD of 462, 542, 954, 350Calculator?

Out the numbers 462, 542, 954, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.