GCD of 973, 706, 700, 714 Calculator

Given Input numbers are 973, 706, 700, 714

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

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (973, 706, 700, 714) = 1.

Given numbers are 973, 706, 700, 714

The list of prime factors of all numbers are

Prime factors of 973 are 7 x 139

Prime factors of 706 are 2 x 353

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

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 973, 706, 700, 714

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

Apply this formula for all numbers.

Step1:

LCM(973, 706) = 686938

GCD(973, 706) = ( 973 x 706 ) / 686938

= 973 / 706

= 973

Step2:

LCM(1, 700) = 700

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

= 1 / 700

= 1

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 973, 706, 700, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 347, 761, 237
• GCD of 398, 331, 284, 120
• GCD of 680, 679, 349, 559
• GCD of 298, 799, 326, 879
• GCD of 185, 715, 202, 261

Given numbers are 973, 706, 700, 714
The greatest common divisor of numbers 973, 706, 700, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 973, 706, 700, 714 is 1.

1. What is the GCD of 973, 706, 700, 714?

GCD of given numbers 973, 706, 700, 714 is 1

2. How to calculate the greatest common divisor of 973, 706, 700, 714?

We can find the highest common divisor of 973, 706, 700, 714 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 973, 706, 700, 714 i.e 1.

3. How can I use the GCD of 973, 706, 700, 714Calculator?

Out the numbers 973, 706, 700, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.