GCD of 698, 138, 735, 322 Calculator

Given Input numbers are 698, 138, 735, 322

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 138 :

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

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (698, 138, 735, 322) = 1.

Given numbers are 698, 138, 735, 322

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 138 are 2 x 3 x 23

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 322 are 2 x 7 x 23

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

Given numbers are 698, 138, 735, 322

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

Apply this formula for all numbers.

Step1:

LCM(698, 138) = 48162

GCD(698, 138) = ( 698 x 138 ) / 48162

= 698 / 138

= 698

Step2:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

Step3:

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

= 1 / 322

= 1

So, Greatest Common Divisor of 698, 138, 735, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 471, 118, 781
• GCD of 166, 790, 189, 465
• GCD of 492, 609, 745, 189
• GCD of 168, 698, 310, 590
• GCD of 825, 702, 823, 790

Given numbers are 698, 138, 735, 322
The greatest common divisor of numbers 698, 138, 735, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 138, 735, 322 is 1.

1. What is the GCD of 698, 138, 735, 322?

GCD of given numbers 698, 138, 735, 322 is 1

2. How to calculate the greatest common divisor of 698, 138, 735, 322?

We can find the highest common divisor of 698, 138, 735, 322 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, 138, 735, 322 i.e 1.

3. How can I use the GCD of 698, 138, 735, 322Calculator?

Out the numbers 698, 138, 735, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.