GCD of 762, 699, 974, 349 Calculator

Given Input numbers are 762, 699, 974, 349

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (762, 699, 974, 349) = 1.

Given numbers are 762, 699, 974, 349

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 699 are 3 x 233

Prime factors of 974 are 2 x 487

Prime factors of 349 are 349

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

Given numbers are 762, 699, 974, 349

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

Apply this formula for all numbers.

Step1:

LCM(762, 699) = 177546

GCD(762, 699) = ( 762 x 699 ) / 177546

= 762 / 699

= 762

Step2:

LCM(3, 974) = 2922

GCD(3, 974) = ( 3 x 974 ) / 2922

= 3 / 974

= 3

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 762, 699, 974, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 154, 911, 290
• GCD of 482, 528, 569, 718
• GCD of 356, 800, 453, 287
• GCD of 191, 309, 974, 853
• GCD of 470, 293, 914, 757

Given numbers are 762, 699, 974, 349
The greatest common divisor of numbers 762, 699, 974, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 699, 974, 349 is 1.

1. What is the GCD of 762, 699, 974, 349?

GCD of given numbers 762, 699, 974, 349 is 1

2. How to calculate the greatest common divisor of 762, 699, 974, 349?

We can find the highest common divisor of 762, 699, 974, 349 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 762, 699, 974, 349 i.e 1.

3. How can I use the GCD of 762, 699, 974, 349Calculator?

Out the numbers 762, 699, 974, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.