GCD of 942, 414, 782, 359 Calculator

Given Input numbers are 942, 414, 782, 359

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (942, 414, 782, 359) = 1.

Given numbers are 942, 414, 782, 359

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 782 are 2 x 17 x 23

Prime factors of 359 are 359

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 942, 414, 782, 359

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

Apply this formula for all numbers.

Step1:

LCM(942, 414) = 64998

GCD(942, 414) = ( 942 x 414 ) / 64998

= 942 / 414

= 942

Step2:

LCM(6, 782) = 2346

GCD(6, 782) = ( 6 x 782 ) / 2346

= 6 / 782

= 6

Step3:

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

= 2 / 359

= 2

So, Greatest Common Divisor of 942, 414, 782, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 543, 246, 618
• GCD of 924, 513, 966, 529
• GCD of 921, 292, 749, 846
• GCD of 361, 989, 566, 702
• GCD of 452, 672, 804, 782

Given numbers are 942, 414, 782, 359
The greatest common divisor of numbers 942, 414, 782, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 414, 782, 359 is 1.

1. What is the GCD of 942, 414, 782, 359?

GCD of given numbers 942, 414, 782, 359 is 1

2. How to calculate the greatest common divisor of 942, 414, 782, 359?

We can find the highest common divisor of 942, 414, 782, 359 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 942, 414, 782, 359 i.e 1.

3. How can I use the GCD of 942, 414, 782, 359Calculator?

Out the numbers 942, 414, 782, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.