GCD of 942, 720, 912, 400 Calculator

Given Input numbers are 942, 720, 912, 400

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (942, 720, 912, 400) = 2.

Given numbers are 942, 720, 912, 400

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 942, 720, 912, 400 is 2.

Given numbers are 942, 720, 912, 400

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

Apply this formula for all numbers.

Step1:

LCM(942, 720) = 113040

GCD(942, 720) = ( 942 x 720 ) / 113040

= 942 / 720

= 942

Step2:

LCM(6, 912) = 912

GCD(6, 912) = ( 6 x 912 ) / 912

= 6 / 912

= 6

Step3:

LCM(6, 400) = 1200

GCD(6, 400) = ( 6 x 400 ) / 1200

= 6 / 400

= 6

So, Greatest Common Divisor of 942, 720, 912, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 109, 496, 509
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• GCD of 499, 265, 381, 114
• GCD of 714, 780, 395, 538
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Given numbers are 942, 720, 912, 400
The greatest common divisor of numbers 942, 720, 912, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 720, 912, 400 is 2.

1. What is the GCD of 942, 720, 912, 400?

GCD of given numbers 942, 720, 912, 400 is 2

2. How to calculate the greatest common divisor of 942, 720, 912, 400?

We can find the highest common divisor of 942, 720, 912, 400 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, 720, 912, 400 i.e 2.

3. How can I use the GCD of 942, 720, 912, 400Calculator?

Out the numbers 942, 720, 912, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.