GCD of 714, 629, 946, 684 Calculator

Given Input numbers are 714, 629, 946, 684

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

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

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (714, 629, 946, 684) = 1.

Given numbers are 714, 629, 946, 684

The list of prime factors of all numbers are

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

Prime factors of 629 are 17 x 37

Prime factors of 946 are 2 x 11 x 43

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 714, 629, 946, 684

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

Apply this formula for all numbers.

Step1:

LCM(714, 629) = 26418

GCD(714, 629) = ( 714 x 629 ) / 26418

= 714 / 629

= 714

Step2:

LCM(17, 946) = 16082

GCD(17, 946) = ( 17 x 946 ) / 16082

= 17 / 946

= 17

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 714, 629, 946, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 191, 873, 193
• GCD of 572, 547, 317, 813
• GCD of 626, 797, 885, 408
• GCD of 976, 101, 936, 728
• GCD of 496, 690, 442, 641

Given numbers are 714, 629, 946, 684
The greatest common divisor of numbers 714, 629, 946, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 629, 946, 684 is 1.

1. What is the GCD of 714, 629, 946, 684?

GCD of given numbers 714, 629, 946, 684 is 1

2. How to calculate the greatest common divisor of 714, 629, 946, 684?

We can find the highest common divisor of 714, 629, 946, 684 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 714, 629, 946, 684 i.e 1.

3. How can I use the GCD of 714, 629, 946, 684Calculator?

Out the numbers 714, 629, 946, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.