GCD of 898, 142, 742, 172 Calculator

Given Input numbers are 898, 142, 742, 172

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 742 :

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

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (898, 142, 742, 172) = 2.

Given numbers are 898, 142, 742, 172

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 142 are 2 x 71

Prime factors of 742 are 2 x 7 x 53

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 898, 142, 742, 172 is 2.

Given numbers are 898, 142, 742, 172

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

Apply this formula for all numbers.

Step1:

LCM(898, 142) = 63758

GCD(898, 142) = ( 898 x 142 ) / 63758

= 898 / 142

= 898

Step2:

LCM(2, 742) = 742

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

= 2 / 742

= 2

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 898, 142, 742, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 744, 969, 773
• GCD of 214, 196, 816, 487
• GCD of 180, 329, 624, 337
• GCD of 999, 952, 925, 239
• GCD of 616, 174, 565, 347

Given numbers are 898, 142, 742, 172
The greatest common divisor of numbers 898, 142, 742, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 142, 742, 172 is 2.

1. What is the GCD of 898, 142, 742, 172?

GCD of given numbers 898, 142, 742, 172 is 2

2. How to calculate the greatest common divisor of 898, 142, 742, 172?

We can find the highest common divisor of 898, 142, 742, 172 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 898, 142, 742, 172 i.e 2.

3. How can I use the GCD of 898, 142, 742, 172Calculator?

Out the numbers 898, 142, 742, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.