GCD of 209, 437, 542, 700 Calculator

Given Input numbers are 209, 437, 542, 700

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (209, 437, 542, 700) = 1.

Given numbers are 209, 437, 542, 700

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 437 are 19 x 23

Prime factors of 542 are 2 x 271

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 209, 437, 542, 700

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

Apply this formula for all numbers.

Step1:

LCM(209, 437) = 4807

GCD(209, 437) = ( 209 x 437 ) / 4807

= 209 / 437

= 209

Step2:

LCM(19, 542) = 10298

GCD(19, 542) = ( 19 x 542 ) / 10298

= 19 / 542

= 19

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 209, 437, 542, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 910, 965, 748
• GCD of 701, 120, 387, 673
• GCD of 136, 286, 129, 442
• GCD of 258, 103, 490, 776
• GCD of 124, 171, 354, 113

Given numbers are 209, 437, 542, 700
The greatest common divisor of numbers 209, 437, 542, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 437, 542, 700 is 1.

1. What is the GCD of 209, 437, 542, 700?

GCD of given numbers 209, 437, 542, 700 is 1

2. How to calculate the greatest common divisor of 209, 437, 542, 700?

We can find the highest common divisor of 209, 437, 542, 700 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 209, 437, 542, 700 i.e 1.

3. How can I use the GCD of 209, 437, 542, 700Calculator?

Out the numbers 209, 437, 542, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.