GCD of 395, 978, 700, 998 Calculator

Given Input numbers are 395, 978, 700, 998

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

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 978 :

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

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

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (395, 978, 700, 998) = 1.

Given numbers are 395, 978, 700, 998

The list of prime factors of all numbers are

Prime factors of 395 are 5 x 79

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 998 are 2 x 499

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

Given numbers are 395, 978, 700, 998

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

Apply this formula for all numbers.

Step1:

LCM(395, 978) = 386310

GCD(395, 978) = ( 395 x 978 ) / 386310

= 395 / 978

= 395

Step2:

LCM(1, 700) = 700

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

= 1 / 700

= 1

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 395, 978, 700, 998 is 1

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Given numbers are 395, 978, 700, 998
The greatest common divisor of numbers 395, 978, 700, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 395, 978, 700, 998 is 1.

1. What is the GCD of 395, 978, 700, 998?

GCD of given numbers 395, 978, 700, 998 is 1

2. How to calculate the greatest common divisor of 395, 978, 700, 998?

We can find the highest common divisor of 395, 978, 700, 998 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 395, 978, 700, 998 i.e 1.

3. How can I use the GCD of 395, 978, 700, 998Calculator?

Out the numbers 395, 978, 700, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.