GCD of 172, 252, 720, 674 Calculator

Given Input numbers are 172, 252, 720, 674

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (172, 252, 720, 674) = 2.

Given numbers are 172, 252, 720, 674

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 172, 252, 720, 674 is 2.

Given numbers are 172, 252, 720, 674

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

Apply this formula for all numbers.

Step1:

LCM(172, 252) = 10836

GCD(172, 252) = ( 172 x 252 ) / 10836

= 172 / 252

= 172

Step2:

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

= 4 / 720

= 4

Step3:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4

So, Greatest Common Divisor of 172, 252, 720, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 699, 387, 682
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• GCD of 436, 797, 869, 137
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Given numbers are 172, 252, 720, 674
The greatest common divisor of numbers 172, 252, 720, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 252, 720, 674 is 2.

1. What is the GCD of 172, 252, 720, 674?

GCD of given numbers 172, 252, 720, 674 is 2

2. How to calculate the greatest common divisor of 172, 252, 720, 674?

We can find the highest common divisor of 172, 252, 720, 674 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, 252, 720, 674 i.e 2.

3. How can I use the GCD of 172, 252, 720, 674Calculator?

Out the numbers 172, 252, 720, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.