GCD of 340, 542, 464, 694 Calculator

Given Input numbers are 340, 542, 464, 694

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (340, 542, 464, 694) = 2.

Given numbers are 340, 542, 464, 694

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 542 are 2 x 271

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 340, 542, 464, 694 is 2.

Given numbers are 340, 542, 464, 694

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

Apply this formula for all numbers.

Step1:

LCM(340, 542) = 92140

GCD(340, 542) = ( 340 x 542 ) / 92140

= 340 / 542

= 340

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

So, Greatest Common Divisor of 340, 542, 464, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 855, 161, 176
• GCD of 333, 581, 676, 220
• GCD of 146, 785, 920, 896
• GCD of 700, 579, 210, 535
• GCD of 655, 904, 288, 814

Given numbers are 340, 542, 464, 694
The greatest common divisor of numbers 340, 542, 464, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 542, 464, 694 is 2.

1. What is the GCD of 340, 542, 464, 694?

GCD of given numbers 340, 542, 464, 694 is 2

2. How to calculate the greatest common divisor of 340, 542, 464, 694?

We can find the highest common divisor of 340, 542, 464, 694 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 340, 542, 464, 694 i.e 2.

3. How can I use the GCD of 340, 542, 464, 694Calculator?

Out the numbers 340, 542, 464, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.