GCD of 276, 120, 567, 690 Calculator

Given Input numbers are 276, 120, 567, 690

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

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (276, 120, 567, 690) = 3.

Given numbers are 276, 120, 567, 690

The list of prime factors of all numbers are

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 276, 120, 567, 690 is 3.

Given numbers are 276, 120, 567, 690

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

Apply this formula for all numbers.

Step1:

LCM(276, 120) = 2760

GCD(276, 120) = ( 276 x 120 ) / 2760

= 276 / 120

= 276

Step2:

LCM(12, 567) = 2268

GCD(12, 567) = ( 12 x 567 ) / 2268

= 12 / 567

= 12

Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 276, 120, 567, 690 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 347, 811, 148
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Given numbers are 276, 120, 567, 690
The greatest common divisor of numbers 276, 120, 567, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 120, 567, 690 is 3.

1. What is the GCD of 276, 120, 567, 690?

GCD of given numbers 276, 120, 567, 690 is 3

2. How to calculate the greatest common divisor of 276, 120, 567, 690?

We can find the highest common divisor of 276, 120, 567, 690 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 276, 120, 567, 690 i.e 3.

3. How can I use the GCD of 276, 120, 567, 690Calculator?

Out the numbers 276, 120, 567, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.