GCD of 217, 688, 138, 698 Calculator

Given Input numbers are 217, 688, 138, 698

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (217, 688, 138, 698) = 1.

Given numbers are 217, 688, 138, 698

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 138 are 2 x 3 x 23

Prime factors of 698 are 2 x 349

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

Given numbers are 217, 688, 138, 698

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

Apply this formula for all numbers.

Step1:

LCM(217, 688) = 149296

GCD(217, 688) = ( 217 x 688 ) / 149296

= 217 / 688

= 217

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 217, 688, 138, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 189, 498, 213
• GCD of 823, 101, 762, 313
• GCD of 790, 788, 322, 988
• GCD of 115, 701, 627, 487
• GCD of 714, 268, 597, 581

Given numbers are 217, 688, 138, 698
The greatest common divisor of numbers 217, 688, 138, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 688, 138, 698 is 1.

1. What is the GCD of 217, 688, 138, 698?

GCD of given numbers 217, 688, 138, 698 is 1

2. How to calculate the greatest common divisor of 217, 688, 138, 698?

We can find the highest common divisor of 217, 688, 138, 698 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 217, 688, 138, 698 i.e 1.

3. How can I use the GCD of 217, 688, 138, 698Calculator?

Out the numbers 217, 688, 138, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.