GCD of 942, 309, 792, 750 Calculator

Given Input numbers are 942, 309, 792, 750

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

GCD of numbers is the greatest common divisor

So, the GCD (942, 309, 792, 750) = 3.

Given numbers are 942, 309, 792, 750

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 309 are 3 x 103

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 942, 309, 792, 750 is 3.

Given numbers are 942, 309, 792, 750

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

Apply this formula for all numbers.

Step1:

LCM(942, 309) = 97026

GCD(942, 309) = ( 942 x 309 ) / 97026

= 942 / 309

= 942

Step2:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

Step3:

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

= 3 / 750

= 3

So, Greatest Common Divisor of 942, 309, 792, 750 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 284, 849, 763
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Given numbers are 942, 309, 792, 750
The greatest common divisor of numbers 942, 309, 792, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 309, 792, 750 is 3.

1. What is the GCD of 942, 309, 792, 750?

GCD of given numbers 942, 309, 792, 750 is 3

2. How to calculate the greatest common divisor of 942, 309, 792, 750?

We can find the highest common divisor of 942, 309, 792, 750 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, 309, 792, 750 i.e 3.

3. How can I use the GCD of 942, 309, 792, 750Calculator?

Out the numbers 942, 309, 792, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.