GCD of 700, 974, 343, 389 Calculator

Given Input numbers are 700, 974, 343, 389

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

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 974 :

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

1, 2, 487, 974

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

GCD of numbers is the greatest common divisor

So, the GCD (700, 974, 343, 389) = 1.

Given numbers are 700, 974, 343, 389

The list of prime factors of all numbers are

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

Prime factors of 974 are 2 x 487

Prime factors of 343 are 7 x 7 x 7

Prime factors of 389 are 389

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

Given numbers are 700, 974, 343, 389

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

Apply this formula for all numbers.

Step1:

LCM(700, 974) = 340900

GCD(700, 974) = ( 700 x 974 ) / 340900

= 700 / 974

= 700

Step2:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

Step3:

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

= 1 / 389

= 1

So, Greatest Common Divisor of 700, 974, 343, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 669, 553, 474
• GCD of 150, 978, 770, 546
• GCD of 849, 717, 647, 926
• GCD of 787, 309, 745, 548
• GCD of 828, 175, 747, 382

Given numbers are 700, 974, 343, 389
The greatest common divisor of numbers 700, 974, 343, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 974, 343, 389 is 1.

1. What is the GCD of 700, 974, 343, 389?

GCD of given numbers 700, 974, 343, 389 is 1

2. How to calculate the greatest common divisor of 700, 974, 343, 389?

We can find the highest common divisor of 700, 974, 343, 389 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 700, 974, 343, 389 i.e 1.

3. How can I use the GCD of 700, 974, 343, 389Calculator?

Out the numbers 700, 974, 343, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.