GCD of 969, 381, 378, 342 Calculator

Given Input numbers are 969, 381, 378, 342

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (969, 381, 378, 342) = 3.

Given numbers are 969, 381, 378, 342

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 381 are 3 x 127

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 969, 381, 378, 342 is 3.

Given numbers are 969, 381, 378, 342

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

Apply this formula for all numbers.

Step1:

LCM(969, 381) = 123063

GCD(969, 381) = ( 969 x 381 ) / 123063

= 969 / 381

= 969

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

Step3:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

So, Greatest Common Divisor of 969, 381, 378, 342 is 3

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• GCD of 490, 798, 830, 813
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Given numbers are 969, 381, 378, 342
The greatest common divisor of numbers 969, 381, 378, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 381, 378, 342 is 3.

1. What is the GCD of 969, 381, 378, 342?

GCD of given numbers 969, 381, 378, 342 is 3

2. How to calculate the greatest common divisor of 969, 381, 378, 342?

We can find the highest common divisor of 969, 381, 378, 342 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 969, 381, 378, 342 i.e 3.

3. How can I use the GCD of 969, 381, 378, 342Calculator?

Out the numbers 969, 381, 378, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.