GCD of 352, 524, 54, 680 Calculator

Given Input numbers are 352, 524, 54, 680

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (352, 524, 54, 680) = 2.

Given numbers are 352, 524, 54, 680

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 524 are 2 x 2 x 131

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 352, 524, 54, 680 is 2.

Given numbers are 352, 524, 54, 680

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

Apply this formula for all numbers.

Step1:

LCM(352, 524) = 46112

GCD(352, 524) = ( 352 x 524 ) / 46112

= 352 / 524

= 352

Step2:

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

= 4 / 54

= 4

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 352, 524, 54, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 245, 89, 726
• GCD of 194, 749, 82, 538
• GCD of 737, 679, 74, 386
• GCD of 316, 317, 26, 757
• GCD of 439, 629, 16, 787

Given numbers are 352, 524, 54, 680
The greatest common divisor of numbers 352, 524, 54, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 524, 54, 680 is 2.

1. What is the GCD of 352, 524, 54, 680?

GCD of given numbers 352, 524, 54, 680 is 2

2. How to calculate the greatest common divisor of 352, 524, 54, 680?

We can find the highest common divisor of 352, 524, 54, 680 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 352, 524, 54, 680 i.e 2.

3. How can I use the GCD of 352, 524, 54, 680Calculator?

Out the numbers 352, 524, 54, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.