GCD of 200, 157, 378, 344 Calculator

Given Input numbers are 200, 157, 378, 344

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

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

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (200, 157, 378, 344) = 1.

Given numbers are 200, 157, 378, 344

The list of prime factors of all numbers are

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

Prime factors of 157 are 157

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 200, 157, 378, 344

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

Apply this formula for all numbers.

Step1:

LCM(200, 157) = 31400

GCD(200, 157) = ( 200 x 157 ) / 31400

= 200 / 157

= 200

Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 200, 157, 378, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 284, 490, 585
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• GCD of 484, 344, 833, 642
• GCD of 734, 222, 709, 351
• GCD of 747, 616, 525, 866

Given numbers are 200, 157, 378, 344
The greatest common divisor of numbers 200, 157, 378, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 157, 378, 344 is 1.

1. What is the GCD of 200, 157, 378, 344?

GCD of given numbers 200, 157, 378, 344 is 1

2. How to calculate the greatest common divisor of 200, 157, 378, 344?

We can find the highest common divisor of 200, 157, 378, 344 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 200, 157, 378, 344 i.e 1.

3. How can I use the GCD of 200, 157, 378, 344Calculator?

Out the numbers 200, 157, 378, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.