GCD of 500, 554, 136, 938 Calculator

Given Input numbers are 500, 554, 136, 938

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (500, 554, 136, 938) = 2.

Given numbers are 500, 554, 136, 938

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 554 are 2 x 277

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 500, 554, 136, 938 is 2.

Given numbers are 500, 554, 136, 938

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

Apply this formula for all numbers.

Step1:

LCM(500, 554) = 138500

GCD(500, 554) = ( 500 x 554 ) / 138500

= 500 / 554

= 500

Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 500, 554, 136, 938 is 2

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• GCD of 414, 718, 526, 476
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Given numbers are 500, 554, 136, 938
The greatest common divisor of numbers 500, 554, 136, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 554, 136, 938 is 2.

1. What is the GCD of 500, 554, 136, 938?

GCD of given numbers 500, 554, 136, 938 is 2

2. How to calculate the greatest common divisor of 500, 554, 136, 938?

We can find the highest common divisor of 500, 554, 136, 938 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 500, 554, 136, 938 i.e 2.

3. How can I use the GCD of 500, 554, 136, 938Calculator?

Out the numbers 500, 554, 136, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.