GCD of 398, 109, 735, 154 Calculator

Given Input numbers are 398, 109, 735, 154

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 109 :

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

1, 109

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 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (398, 109, 735, 154) = 1.

Given numbers are 398, 109, 735, 154

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 109 are 109

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

Prime factors of 154 are 2 x 7 x 11

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

Given numbers are 398, 109, 735, 154

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

Apply this formula for all numbers.

Step1:

LCM(398, 109) = 43382

GCD(398, 109) = ( 398 x 109 ) / 43382

= 398 / 109

= 398

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

= 1 / 154

= 1

So, Greatest Common Divisor of 398, 109, 735, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 802, 302, 425
• GCD of 407, 552, 371, 713
• GCD of 293, 130, 992, 420
• GCD of 235, 517, 278, 337
• GCD of 108, 271, 179, 826

Given numbers are 398, 109, 735, 154
The greatest common divisor of numbers 398, 109, 735, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 109, 735, 154 is 1.

1. What is the GCD of 398, 109, 735, 154?

GCD of given numbers 398, 109, 735, 154 is 1

2. How to calculate the greatest common divisor of 398, 109, 735, 154?

We can find the highest common divisor of 398, 109, 735, 154 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 398, 109, 735, 154 i.e 1.

3. How can I use the GCD of 398, 109, 735, 154Calculator?

Out the numbers 398, 109, 735, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.