GCD of 997, 735, 978, 852 Calculator

Given Input numbers are 997, 735, 978, 852

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

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (997, 735, 978, 852) = 1.

Given numbers are 997, 735, 978, 852

The list of prime factors of all numbers are

Prime factors of 997 are 997

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 978 are 2 x 3 x 163

Prime factors of 852 are 2 x 2 x 3 x 71

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

Given numbers are 997, 735, 978, 852

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

Apply this formula for all numbers.

Step1:

LCM(997, 735) = 732795

GCD(997, 735) = ( 997 x 735 ) / 732795

= 997 / 735

= 997

Step2:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 997, 735, 978, 852 is 1

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Given numbers are 997, 735, 978, 852
The greatest common divisor of numbers 997, 735, 978, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 997, 735, 978, 852 is 1.

1. What is the GCD of 997, 735, 978, 852?

GCD of given numbers 997, 735, 978, 852 is 1

2. How to calculate the greatest common divisor of 997, 735, 978, 852?

We can find the highest common divisor of 997, 735, 978, 852 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 997, 735, 978, 852 i.e 1.

3. How can I use the GCD of 997, 735, 978, 852Calculator?

Out the numbers 997, 735, 978, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.