GCD of 238, 282, 746, 175 Calculator

Given Input numbers are 238, 282, 746, 175

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (238, 282, 746, 175) = 1.

Given numbers are 238, 282, 746, 175

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 282 are 2 x 3 x 47

Prime factors of 746 are 2 x 373

Prime factors of 175 are 5 x 5 x 7

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

Given numbers are 238, 282, 746, 175

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

Apply this formula for all numbers.

Step1:

LCM(238, 282) = 33558

GCD(238, 282) = ( 238 x 282 ) / 33558

= 238 / 282

= 238

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

= 2 / 175

= 2

So, Greatest Common Divisor of 238, 282, 746, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 169, 118, 685
• GCD of 922, 313, 234, 573
• GCD of 655, 426, 495, 965
• GCD of 713, 982, 829, 509
• GCD of 297, 290, 162, 563

Given numbers are 238, 282, 746, 175
The greatest common divisor of numbers 238, 282, 746, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 282, 746, 175 is 1.

1. What is the GCD of 238, 282, 746, 175?

GCD of given numbers 238, 282, 746, 175 is 1

2. How to calculate the greatest common divisor of 238, 282, 746, 175?

We can find the highest common divisor of 238, 282, 746, 175 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, 282, 746, 175 i.e 1.

3. How can I use the GCD of 238, 282, 746, 175Calculator?

Out the numbers 238, 282, 746, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.