GCD of 274, 762, 684, 164 Calculator

Given Input numbers are 274, 762, 684, 164

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (274, 762, 684, 164) = 2.

Given numbers are 274, 762, 684, 164

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 762 are 2 x 3 x 127

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 274, 762, 684, 164 is 2.

Given numbers are 274, 762, 684, 164

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

Apply this formula for all numbers.

Step1:

LCM(274, 762) = 104394

GCD(274, 762) = ( 274 x 762 ) / 104394

= 274 / 762

= 274

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 274, 762, 684, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 140, 503, 882
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Given numbers are 274, 762, 684, 164
The greatest common divisor of numbers 274, 762, 684, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 762, 684, 164 is 2.

1. What is the GCD of 274, 762, 684, 164?

GCD of given numbers 274, 762, 684, 164 is 2

2. How to calculate the greatest common divisor of 274, 762, 684, 164?

We can find the highest common divisor of 274, 762, 684, 164 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 274, 762, 684, 164 i.e 2.

3. How can I use the GCD of 274, 762, 684, 164Calculator?

Out the numbers 274, 762, 684, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.