GCD of 760, 372, 108, 342 Calculator

Given Input numbers are 760, 372, 108, 342

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 (760, 372, 108, 342) = 2.

Given numbers are 760, 372, 108, 342

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 760, 372, 108, 342 is 2.

Given numbers are 760, 372, 108, 342

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

Apply this formula for all numbers.

Step1:

LCM(760, 372) = 70680

GCD(760, 372) = ( 760 x 372 ) / 70680

= 760 / 372

= 760

Step2:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

Step3:

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

= 4 / 342

= 4

So, Greatest Common Divisor of 760, 372, 108, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 737, 140, 365
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• GCD of 633, 398, 533, 437
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• GCD of 396, 872, 690, 129

Given numbers are 760, 372, 108, 342
The greatest common divisor of numbers 760, 372, 108, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 372, 108, 342 is 2.

1. What is the GCD of 760, 372, 108, 342?

GCD of given numbers 760, 372, 108, 342 is 2

2. How to calculate the greatest common divisor of 760, 372, 108, 342?

We can find the highest common divisor of 760, 372, 108, 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 760, 372, 108, 342 i.e 2.

3. How can I use the GCD of 760, 372, 108, 342Calculator?

Out the numbers 760, 372, 108, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.