GCD of 978, 704, 123, 874 Calculator

Given Input numbers are 978, 704, 123, 874

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

Divisors of 978 :

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

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (978, 704, 123, 874) = 1.

Given numbers are 978, 704, 123, 874

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 123 are 3 x 41

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 978, 704, 123, 874

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

Apply this formula for all numbers.

Step1:

LCM(978, 704) = 344256

GCD(978, 704) = ( 978 x 704 ) / 344256

= 978 / 704

= 978

Step2:

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

= 2 / 123

= 2

Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 978, 704, 123, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 917, 929, 450
• GCD of 921, 914, 732, 111
• GCD of 634, 278, 215, 138
• GCD of 482, 683, 513, 354
• GCD of 328, 312, 144, 313

Given numbers are 978, 704, 123, 874
The greatest common divisor of numbers 978, 704, 123, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 704, 123, 874 is 1.

1. What is the GCD of 978, 704, 123, 874?

GCD of given numbers 978, 704, 123, 874 is 1

2. How to calculate the greatest common divisor of 978, 704, 123, 874?

We can find the highest common divisor of 978, 704, 123, 874 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 978, 704, 123, 874 i.e 1.

3. How can I use the GCD of 978, 704, 123, 874Calculator?

Out the numbers 978, 704, 123, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.