GCD of 542, 680, 710, 342 Calculator

Given Input numbers are 542, 680, 710, 342

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

Divisors of 542 :

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

1, 2, 271, 542

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (542, 680, 710, 342) = 2.

Given numbers are 542, 680, 710, 342

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

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

Prime factors of 710 are 2 x 5 x 71

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 542, 680, 710, 342 is 2.

Given numbers are 542, 680, 710, 342

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

Apply this formula for all numbers.

Step1:

LCM(542, 680) = 184280

GCD(542, 680) = ( 542 x 680 ) / 184280

= 542 / 680

= 542

Step2:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 542, 680, 710, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 957, 721, 108
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Given numbers are 542, 680, 710, 342
The greatest common divisor of numbers 542, 680, 710, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 680, 710, 342 is 2.

1. What is the GCD of 542, 680, 710, 342?

GCD of given numbers 542, 680, 710, 342 is 2

2. How to calculate the greatest common divisor of 542, 680, 710, 342?

We can find the highest common divisor of 542, 680, 710, 342 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 542, 680, 710, 342 i.e 2.

3. How can I use the GCD of 542, 680, 710, 342Calculator?

Out the numbers 542, 680, 710, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.