GCD of 384, 954, 840, 658 Calculator

Given Input numbers are 384, 954, 840, 658

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (384, 954, 840, 658) = 2.

Given numbers are 384, 954, 840, 658

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 384, 954, 840, 658 is 2.

Given numbers are 384, 954, 840, 658

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

Apply this formula for all numbers.

Step1:

LCM(384, 954) = 61056

GCD(384, 954) = ( 384 x 954 ) / 61056

= 384 / 954

= 384

Step2:

LCM(6, 840) = 840

GCD(6, 840) = ( 6 x 840 ) / 840

= 6 / 840

= 6

Step3:

LCM(6, 658) = 1974

GCD(6, 658) = ( 6 x 658 ) / 1974

= 6 / 658

= 6

So, Greatest Common Divisor of 384, 954, 840, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 907, 648, 394
• GCD of 207, 517, 902, 528
• GCD of 819, 607, 955, 989
• GCD of 780, 857, 731, 524
• GCD of 903, 905, 124, 913

Given numbers are 384, 954, 840, 658
The greatest common divisor of numbers 384, 954, 840, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 954, 840, 658 is 2.

1. What is the GCD of 384, 954, 840, 658?

GCD of given numbers 384, 954, 840, 658 is 2

2. How to calculate the greatest common divisor of 384, 954, 840, 658?

We can find the highest common divisor of 384, 954, 840, 658 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 384, 954, 840, 658 i.e 2.

3. How can I use the GCD of 384, 954, 840, 658Calculator?

Out the numbers 384, 954, 840, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.