GCD of 714, 731, 698, 632 Calculator

Given Input numbers are 714, 731, 698, 632

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 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (714, 731, 698, 632) = 1.

Given numbers are 714, 731, 698, 632

The list of prime factors of all numbers are

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

Prime factors of 731 are 17 x 43

Prime factors of 698 are 2 x 349

Prime factors of 632 are 2 x 2 x 2 x 79

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

Given numbers are 714, 731, 698, 632

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

Apply this formula for all numbers.

Step1:

LCM(714, 731) = 30702

GCD(714, 731) = ( 714 x 731 ) / 30702

= 714 / 731

= 714

Step2:

LCM(17, 698) = 11866

GCD(17, 698) = ( 17 x 698 ) / 11866

= 17 / 698

= 17

Step3:

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

= 1 / 632

= 1

So, Greatest Common Divisor of 714, 731, 698, 632 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 350, 410, 588
• GCD of 812, 282, 761, 911
• GCD of 816, 244, 859, 488
• GCD of 551, 102, 384, 599
• GCD of 995, 359, 260, 287

Given numbers are 714, 731, 698, 632
The greatest common divisor of numbers 714, 731, 698, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 731, 698, 632 is 1.

1. What is the GCD of 714, 731, 698, 632?

GCD of given numbers 714, 731, 698, 632 is 1

2. How to calculate the greatest common divisor of 714, 731, 698, 632?

We can find the highest common divisor of 714, 731, 698, 632 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, 731, 698, 632 i.e 1.

3. How can I use the GCD of 714, 731, 698, 632Calculator?

Out the numbers 714, 731, 698, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.