GCD of 698, 712, 109, 680 Calculator

Given Input numbers are 698, 712, 109, 680

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (698, 712, 109, 680) = 1.

Given numbers are 698, 712, 109, 680

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 109 are 109

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Given numbers are 698, 712, 109, 680

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

Apply this formula for all numbers.

Step1:

LCM(698, 712) = 248488

GCD(698, 712) = ( 698 x 712 ) / 248488

= 698 / 712

= 698

Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

So, Greatest Common Divisor of 698, 712, 109, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 300, 982, 961
• GCD of 301, 681, 813, 794
• GCD of 915, 994, 695, 323
• GCD of 535, 357, 885, 781
• GCD of 525, 203, 889, 991

Given numbers are 698, 712, 109, 680
The greatest common divisor of numbers 698, 712, 109, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 712, 109, 680 is 1.

1. What is the GCD of 698, 712, 109, 680?

GCD of given numbers 698, 712, 109, 680 is 1

2. How to calculate the greatest common divisor of 698, 712, 109, 680?

We can find the highest common divisor of 698, 712, 109, 680 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 698, 712, 109, 680 i.e 1.

3. How can I use the GCD of 698, 712, 109, 680Calculator?

Out the numbers 698, 712, 109, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.