GCD of 785, 713, 972, 238 Calculator

Given Input numbers are 785, 713, 972, 238

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

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 238 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (785, 713, 972, 238) = 1.

Given numbers are 785, 713, 972, 238

The list of prime factors of all numbers are

Prime factors of 785 are 5 x 157

Prime factors of 713 are 23 x 31

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 785, 713, 972, 238

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

Apply this formula for all numbers.

Step1:

LCM(785, 713) = 559705

GCD(785, 713) = ( 785 x 713 ) / 559705

= 785 / 713

= 785

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 785, 713, 972, 238 is 1

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Given numbers are 785, 713, 972, 238
The greatest common divisor of numbers 785, 713, 972, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 713, 972, 238 is 1.

1. What is the GCD of 785, 713, 972, 238?

GCD of given numbers 785, 713, 972, 238 is 1

2. How to calculate the greatest common divisor of 785, 713, 972, 238?

We can find the highest common divisor of 785, 713, 972, 238 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 785, 713, 972, 238 i.e 1.

3. How can I use the GCD of 785, 713, 972, 238Calculator?

Out the numbers 785, 713, 972, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.