GCD of 169, 898, 508, 972 Calculator

Given Input numbers are 169, 898, 508, 972

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (169, 898, 508, 972) = 1.

Given numbers are 169, 898, 508, 972

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

Prime factors of 898 are 2 x 449

Prime factors of 508 are 2 x 2 x 127

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 169, 898, 508, 972

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

Apply this formula for all numbers.

Step1:

LCM(169, 898) = 151762

GCD(169, 898) = ( 169 x 898 ) / 151762

= 169 / 898

= 169

Step2:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 169, 898, 508, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 849, 949, 837
• GCD of 496, 164, 802, 382
• GCD of 304, 261, 509, 908
• GCD of 797, 835, 881, 631
• GCD of 897, 640, 991, 288

Given numbers are 169, 898, 508, 972
The greatest common divisor of numbers 169, 898, 508, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 898, 508, 972 is 1.

1. What is the GCD of 169, 898, 508, 972?

GCD of given numbers 169, 898, 508, 972 is 1

2. How to calculate the greatest common divisor of 169, 898, 508, 972?

We can find the highest common divisor of 169, 898, 508, 972 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 169, 898, 508, 972 i.e 1.

3. How can I use the GCD of 169, 898, 508, 972Calculator?

Out the numbers 169, 898, 508, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.