GCD of 354, 944, 120, 564 Calculator

Given Input numbers are 354, 944, 120, 564

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

Divisors of 354 :

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

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

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (354, 944, 120, 564) = 2.

Given numbers are 354, 944, 120, 564

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 354, 944, 120, 564 is 2.

Given numbers are 354, 944, 120, 564

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

Apply this formula for all numbers.

Step1:

LCM(354, 944) = 2832

GCD(354, 944) = ( 354 x 944 ) / 2832

= 354 / 944

= 354

Step2:

LCM(118, 120) = 7080

GCD(118, 120) = ( 118 x 120 ) / 7080

= 118 / 120

= 118

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 354, 944, 120, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 749, 349, 509
• GCD of 468, 875, 971, 548
• GCD of 217, 126, 844, 182
• GCD of 220, 480, 493, 398
• GCD of 342, 435, 661, 207

Given numbers are 354, 944, 120, 564
The greatest common divisor of numbers 354, 944, 120, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 944, 120, 564 is 2.

1. What is the GCD of 354, 944, 120, 564?

GCD of given numbers 354, 944, 120, 564 is 2

2. How to calculate the greatest common divisor of 354, 944, 120, 564?

We can find the highest common divisor of 354, 944, 120, 564 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 354, 944, 120, 564 i.e 2.

3. How can I use the GCD of 354, 944, 120, 564Calculator?

Out the numbers 354, 944, 120, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.