GCD of 682, 542, 120, 312 Calculator

Given Input numbers are 682, 542, 120, 312

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

Divisors of 682 :

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

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

Divisors of 542 :

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

1, 2, 271, 542

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (682, 542, 120, 312) = 2.

Given numbers are 682, 542, 120, 312

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 542 are 2 x 271

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 682, 542, 120, 312 is 2.

Given numbers are 682, 542, 120, 312

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

Apply this formula for all numbers.

Step1:

LCM(682, 542) = 184822

GCD(682, 542) = ( 682 x 542 ) / 184822

= 682 / 542

= 682

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 682, 542, 120, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 532, 503, 290
• GCD of 576, 263, 424, 818
• GCD of 817, 925, 184, 207
• GCD of 207, 835, 556, 533
• GCD of 553, 550, 643, 920

Given numbers are 682, 542, 120, 312
The greatest common divisor of numbers 682, 542, 120, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 542, 120, 312 is 2.

1. What is the GCD of 682, 542, 120, 312?

GCD of given numbers 682, 542, 120, 312 is 2

2. How to calculate the greatest common divisor of 682, 542, 120, 312?

We can find the highest common divisor of 682, 542, 120, 312 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 682, 542, 120, 312 i.e 2.

3. How can I use the GCD of 682, 542, 120, 312Calculator?

Out the numbers 682, 542, 120, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.