GCD of 704, 979, 974, 739 Calculator

Given Input numbers are 704, 979, 974, 739

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

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 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (704, 979, 974, 739) = 1.

Given numbers are 704, 979, 974, 739

The list of prime factors of all numbers are

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

Prime factors of 979 are 11 x 89

Prime factors of 974 are 2 x 487

Prime factors of 739 are 739

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

Given numbers are 704, 979, 974, 739

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

Apply this formula for all numbers.

Step1:

LCM(704, 979) = 62656

GCD(704, 979) = ( 704 x 979 ) / 62656

= 704 / 979

= 704

Step2:

LCM(11, 974) = 10714

GCD(11, 974) = ( 11 x 974 ) / 10714

= 11 / 974

= 11

Step3:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1

So, Greatest Common Divisor of 704, 979, 974, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 177, 419, 977
• GCD of 384, 597, 854, 980
• GCD of 945, 446, 918, 252
• GCD of 371, 271, 306, 108
• GCD of 933, 594, 416, 588

Given numbers are 704, 979, 974, 739
The greatest common divisor of numbers 704, 979, 974, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 979, 974, 739 is 1.

1. What is the GCD of 704, 979, 974, 739?

GCD of given numbers 704, 979, 974, 739 is 1

2. How to calculate the greatest common divisor of 704, 979, 974, 739?

We can find the highest common divisor of 704, 979, 974, 739 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 704, 979, 974, 739 i.e 1.

3. How can I use the GCD of 704, 979, 974, 739Calculator?

Out the numbers 704, 979, 974, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.