GCD of 385, 908, 700, 978 Calculator

Given Input numbers are 385, 908, 700, 978

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

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 978 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (385, 908, 700, 978) = 1.

Given numbers are 385, 908, 700, 978

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 908 are 2 x 2 x 227

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

Prime factors of 978 are 2 x 3 x 163

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

Given numbers are 385, 908, 700, 978

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

Apply this formula for all numbers.

Step1:

LCM(385, 908) = 349580

GCD(385, 908) = ( 385 x 908 ) / 349580

= 385 / 908

= 385

Step2:

LCM(1, 700) = 700

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

= 1 / 700

= 1

Step3:

LCM(1, 978) = 978

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

= 1 / 978

= 1

So, Greatest Common Divisor of 385, 908, 700, 978 is 1

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Given numbers are 385, 908, 700, 978
The greatest common divisor of numbers 385, 908, 700, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 908, 700, 978 is 1.

1. What is the GCD of 385, 908, 700, 978?

GCD of given numbers 385, 908, 700, 978 is 1

2. How to calculate the greatest common divisor of 385, 908, 700, 978?

We can find the highest common divisor of 385, 908, 700, 978 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 385, 908, 700, 978 i.e 1.

3. How can I use the GCD of 385, 908, 700, 978Calculator?

Out the numbers 385, 908, 700, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.