GCD of 157, 200, 358, 914 Calculator

Given Input numbers are 157, 200, 358, 914

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

Divisors of 157 :

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

1, 157

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (157, 200, 358, 914) = 1.

Given numbers are 157, 200, 358, 914

The list of prime factors of all numbers are

Prime factors of 157 are 157

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

Prime factors of 358 are 2 x 179

Prime factors of 914 are 2 x 457

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

Given numbers are 157, 200, 358, 914

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

Apply this formula for all numbers.

Step1:

LCM(157, 200) = 31400

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

= 157 / 200

= 157

Step2:

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

= 1 / 358

= 1

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 157, 200, 358, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 660, 539, 361
• GCD of 377, 288, 490, 377
• GCD of 537, 692, 396, 875
• GCD of 707, 651, 256, 596
• GCD of 801, 212, 862, 727

Given numbers are 157, 200, 358, 914
The greatest common divisor of numbers 157, 200, 358, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 157, 200, 358, 914 is 1.

1. What is the GCD of 157, 200, 358, 914?

GCD of given numbers 157, 200, 358, 914 is 1

2. How to calculate the greatest common divisor of 157, 200, 358, 914?

We can find the highest common divisor of 157, 200, 358, 914 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 157, 200, 358, 914 i.e 1.

3. How can I use the GCD of 157, 200, 358, 914Calculator?

Out the numbers 157, 200, 358, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.