GCD of 320, 682, 770, 542 Calculator

Given Input numbers are 320, 682, 770, 542

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 542 :

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

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (320, 682, 770, 542) = 2.

Given numbers are 320, 682, 770, 542

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 682 are 2 x 11 x 31

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 320, 682, 770, 542 is 2.

Given numbers are 320, 682, 770, 542

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

Apply this formula for all numbers.

Step1:

LCM(320, 682) = 109120

GCD(320, 682) = ( 320 x 682 ) / 109120

= 320 / 682

= 320

Step2:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 320, 682, 770, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 524, 325, 223
• GCD of 295, 806, 853, 323
• GCD of 852, 608, 458, 362
• GCD of 476, 589, 153, 119
• GCD of 186, 723, 749, 297

Given numbers are 320, 682, 770, 542
The greatest common divisor of numbers 320, 682, 770, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 682, 770, 542 is 2.

1. What is the GCD of 320, 682, 770, 542?

GCD of given numbers 320, 682, 770, 542 is 2

2. How to calculate the greatest common divisor of 320, 682, 770, 542?

We can find the highest common divisor of 320, 682, 770, 542 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 320, 682, 770, 542 i.e 2.

3. How can I use the GCD of 320, 682, 770, 542Calculator?

Out the numbers 320, 682, 770, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.