GCD of 172, 140, 60, 276 Calculator

Given Input numbers are 172, 140, 60, 276

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 140 :

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

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

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

GCD of numbers is the greatest common divisor

So, the GCD (172, 140, 60, 276) = 4.

Given numbers are 172, 140, 60, 276

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

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

Prime factors of 60 are 2 x 2 x 3 x 5

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

The highest common occurrence is 2²

Therefore, GCD of 172, 140, 60, 276 is 4.

Given numbers are 172, 140, 60, 276

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

Apply this formula for all numbers.

Step1:

LCM(172, 140) = 6020

GCD(172, 140) = ( 172 x 140 ) / 6020

= 172 / 140

= 172

Step2:

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

= 4 / 60

= 4

Step3:

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

= 4 / 276

= 4

So, Greatest Common Divisor of 172, 140, 60, 276 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 588, 77, 170
• GCD of 683, 883, 83, 133
• GCD of 523, 508, 15, 965
• GCD of 945, 120, 70, 706
• GCD of 223, 365, 18, 757

Given numbers are 172, 140, 60, 276
The greatest common divisor of numbers 172, 140, 60, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 140, 60, 276 is 4.

1. What is the GCD of 172, 140, 60, 276?

GCD of given numbers 172, 140, 60, 276 is 4

2. How to calculate the greatest common divisor of 172, 140, 60, 276?

We can find the highest common divisor of 172, 140, 60, 276 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, 140, 60, 276 i.e 4.

3. How can I use the GCD of 172, 140, 60, 276Calculator?

Out the numbers 172, 140, 60, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.