GCD of 940, 942, 800, 898 Calculator

Given Input numbers are 940, 942, 800, 898

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 942 :

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

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (940, 942, 800, 898) = 2.

Given numbers are 940, 942, 800, 898

The list of prime factors of all numbers are

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 942 are 2 x 3 x 157

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 940, 942, 800, 898 is 2.

Given numbers are 940, 942, 800, 898

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

Apply this formula for all numbers.

Step1:

LCM(940, 942) = 442740

GCD(940, 942) = ( 940 x 942 ) / 442740

= 940 / 942

= 940

Step2:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 940, 942, 800, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 742, 663, 981
• GCD of 800, 506, 187, 813
• GCD of 582, 682, 210, 183
• GCD of 250, 314, 836, 597
• GCD of 591, 589, 509, 261

Given numbers are 940, 942, 800, 898
The greatest common divisor of numbers 940, 942, 800, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 942, 800, 898 is 2.

1. What is the GCD of 940, 942, 800, 898?

GCD of given numbers 940, 942, 800, 898 is 2

2. How to calculate the greatest common divisor of 940, 942, 800, 898?

We can find the highest common divisor of 940, 942, 800, 898 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 940, 942, 800, 898 i.e 2.

3. How can I use the GCD of 940, 942, 800, 898Calculator?

Out the numbers 940, 942, 800, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.