GCD of 172, 504, 954, 140 Calculator

Given Input numbers are 172, 504, 954, 140

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (172, 504, 954, 140) = 2.

Given numbers are 172, 504, 954, 140

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 172, 504, 954, 140 is 2.

Given numbers are 172, 504, 954, 140

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

Apply this formula for all numbers.

Step1:

LCM(172, 504) = 21672

GCD(172, 504) = ( 172 x 504 ) / 21672

= 172 / 504

= 172

Step2:

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

= 4 / 954

= 4

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 172, 504, 954, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 434, 232, 297
• GCD of 940, 273, 862, 207
• GCD of 703, 625, 366, 594
• GCD of 859, 996, 139, 155
• GCD of 635, 253, 385, 829

Given numbers are 172, 504, 954, 140
The greatest common divisor of numbers 172, 504, 954, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 504, 954, 140 is 2.

1. What is the GCD of 172, 504, 954, 140?

GCD of given numbers 172, 504, 954, 140 is 2

2. How to calculate the greatest common divisor of 172, 504, 954, 140?

We can find the highest common divisor of 172, 504, 954, 140 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 172, 504, 954, 140 i.e 2.

3. How can I use the GCD of 172, 504, 954, 140Calculator?

Out the numbers 172, 504, 954, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.