GCD of 200, 704, 157, 292 Calculator

Given Input numbers are 200, 704, 157, 292

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 157 :

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

1, 157

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

GCD of numbers is the greatest common divisor

So, the GCD (200, 704, 157, 292) = 1.

Given numbers are 200, 704, 157, 292

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 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 157 are 157

Prime factors of 292 are 2 x 2 x 73

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

Given numbers are 200, 704, 157, 292

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

Apply this formula for all numbers.

Step1:

LCM(200, 704) = 17600

GCD(200, 704) = ( 200 x 704 ) / 17600

= 200 / 704

= 200

Step2:

LCM(8, 157) = 1256

GCD(8, 157) = ( 8 x 157 ) / 1256

= 8 / 157

= 8

Step3:

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

= 1 / 292

= 1

So, Greatest Common Divisor of 200, 704, 157, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 126, 290, 949
• GCD of 968, 499, 982, 100
• GCD of 937, 914, 850, 473
• GCD of 663, 114, 499, 990
• GCD of 172, 905, 849, 317

Given numbers are 200, 704, 157, 292
The greatest common divisor of numbers 200, 704, 157, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 704, 157, 292 is 1.

1. What is the GCD of 200, 704, 157, 292?

GCD of given numbers 200, 704, 157, 292 is 1

2. How to calculate the greatest common divisor of 200, 704, 157, 292?

We can find the highest common divisor of 200, 704, 157, 292 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, 704, 157, 292 i.e 1.

3. How can I use the GCD of 200, 704, 157, 292Calculator?

Out the numbers 200, 704, 157, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.