GCD of 177, 126, 276, 240 Calculator

Given Input numbers are 177, 126, 276, 240

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

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (177, 126, 276, 240) = 3.

Given numbers are 177, 126, 276, 240

The list of prime factors of all numbers are

Prime factors of 177 are 3 x 59

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 177, 126, 276, 240 is 3.

Given numbers are 177, 126, 276, 240

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

Apply this formula for all numbers.

Step1:

LCM(177, 126) = 7434

GCD(177, 126) = ( 177 x 126 ) / 7434

= 177 / 126

= 177

Step2:

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

= 3 / 276

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 177, 126, 276, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 844, 731, 165
• GCD of 874, 522, 665, 583
• GCD of 546, 190, 110, 834
• GCD of 111, 912, 575, 982
• GCD of 515, 757, 262, 789

Given numbers are 177, 126, 276, 240
The greatest common divisor of numbers 177, 126, 276, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 126, 276, 240 is 3.

1. What is the GCD of 177, 126, 276, 240?

GCD of given numbers 177, 126, 276, 240 is 3

2. How to calculate the greatest common divisor of 177, 126, 276, 240?

We can find the highest common divisor of 177, 126, 276, 240 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 177, 126, 276, 240 i.e 3.

3. How can I use the GCD of 177, 126, 276, 240Calculator?

Out the numbers 177, 126, 276, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.