GCD of 398, 149, 928, 700 Calculator

Given Input numbers are 398, 149, 928, 700

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (398, 149, 928, 700) = 1.

Given numbers are 398, 149, 928, 700

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 149 are 149

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 398, 149, 928, 700

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

Apply this formula for all numbers.

Step1:

LCM(398, 149) = 59302

GCD(398, 149) = ( 398 x 149 ) / 59302

= 398 / 149

= 398

Step2:

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

= 1 / 928

= 1

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 398, 149, 928, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 176, 727, 101
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Given numbers are 398, 149, 928, 700
The greatest common divisor of numbers 398, 149, 928, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 149, 928, 700 is 1.

1. What is the GCD of 398, 149, 928, 700?

GCD of given numbers 398, 149, 928, 700 is 1

2. How to calculate the greatest common divisor of 398, 149, 928, 700?

We can find the highest common divisor of 398, 149, 928, 700 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, 149, 928, 700 i.e 1.

3. How can I use the GCD of 398, 149, 928, 700Calculator?

Out the numbers 398, 149, 928, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.