GCD of 900, 698, 742, 139 Calculator

Given Input numbers are 900, 698, 742, 139

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

GCD of numbers is the greatest common divisor

So, the GCD (900, 698, 742, 139) = 1.

Given numbers are 900, 698, 742, 139

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 698 are 2 x 349

Prime factors of 742 are 2 x 7 x 53

Prime factors of 139 are 139

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

Given numbers are 900, 698, 742, 139

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

Apply this formula for all numbers.

Step1:

LCM(900, 698) = 314100

GCD(900, 698) = ( 900 x 698 ) / 314100

= 900 / 698

= 900

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 139) = 278

GCD(2, 139) = ( 2 x 139 ) / 278

= 2 / 139

= 2

So, Greatest Common Divisor of 900, 698, 742, 139 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 874, 711, 537
• GCD of 836, 620, 315, 546
• GCD of 286, 872, 419, 904
• GCD of 868, 888, 311, 247
• GCD of 454, 393, 677, 411

Given numbers are 900, 698, 742, 139
The greatest common divisor of numbers 900, 698, 742, 139 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 698, 742, 139 is 1.

1. What is the GCD of 900, 698, 742, 139?

GCD of given numbers 900, 698, 742, 139 is 1

2. How to calculate the greatest common divisor of 900, 698, 742, 139?

We can find the highest common divisor of 900, 698, 742, 139 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 900, 698, 742, 139 i.e 1.

3. How can I use the GCD of 900, 698, 742, 139Calculator?

Out the numbers 900, 698, 742, 139 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.