GCD of 214, 169, 242, 200 Calculator

Given Input numbers are 214, 169, 242, 200

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (214, 169, 242, 200) = 1.

Given numbers are 214, 169, 242, 200

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 169 are 13 x 13

Prime factors of 242 are 2 x 11 x 11

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 214, 169, 242, 200

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

Apply this formula for all numbers.

Step1:

LCM(214, 169) = 36166

GCD(214, 169) = ( 214 x 169 ) / 36166

= 214 / 169

= 214

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 214, 169, 242, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 700, 214, 758
• GCD of 836, 180, 711, 726
• GCD of 917, 419, 185, 206
• GCD of 752, 868, 338, 300
• GCD of 633, 942, 326, 212

Given numbers are 214, 169, 242, 200
The greatest common divisor of numbers 214, 169, 242, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 169, 242, 200 is 1.

1. What is the GCD of 214, 169, 242, 200?

GCD of given numbers 214, 169, 242, 200 is 1

2. How to calculate the greatest common divisor of 214, 169, 242, 200?

We can find the highest common divisor of 214, 169, 242, 200 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 214, 169, 242, 200 i.e 1.

3. How can I use the GCD of 214, 169, 242, 200Calculator?

Out the numbers 214, 169, 242, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.