GCD of 238, 675, 523, 700 Calculator

Given Input numbers are 238, 675, 523, 700

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (238, 675, 523, 700) = 1.

Given numbers are 238, 675, 523, 700

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 523 are 523

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 238, 675, 523, 700

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

Apply this formula for all numbers.

Step1:

LCM(238, 675) = 160650

GCD(238, 675) = ( 238 x 675 ) / 160650

= 238 / 675

= 238

Step2:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 238, 675, 523, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 510, 714, 369
• GCD of 608, 707, 699, 444
• GCD of 862, 435, 562, 936
• GCD of 378, 821, 445, 211
• GCD of 173, 134, 839, 672

Given numbers are 238, 675, 523, 700
The greatest common divisor of numbers 238, 675, 523, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 675, 523, 700 is 1.

1. What is the GCD of 238, 675, 523, 700?

GCD of given numbers 238, 675, 523, 700 is 1

2. How to calculate the greatest common divisor of 238, 675, 523, 700?

We can find the highest common divisor of 238, 675, 523, 700 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 238, 675, 523, 700 i.e 1.

3. How can I use the GCD of 238, 675, 523, 700Calculator?

Out the numbers 238, 675, 523, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.