GCD of 274, 788, 942, 440 Calculator

Given Input numbers are 274, 788, 942, 440

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 942 :

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

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (274, 788, 942, 440) = 2.

Given numbers are 274, 788, 942, 440

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 788 are 2 x 2 x 197

Prime factors of 942 are 2 x 3 x 157

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 274, 788, 942, 440 is 2.

Given numbers are 274, 788, 942, 440

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

Apply this formula for all numbers.

Step1:

LCM(274, 788) = 107956

GCD(274, 788) = ( 274 x 788 ) / 107956

= 274 / 788

= 274

Step2:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

Step3:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

So, Greatest Common Divisor of 274, 788, 942, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 290, 553, 722
• GCD of 773, 309, 291, 870
• GCD of 243, 122, 853, 310
• GCD of 986, 196, 988, 558
• GCD of 250, 336, 167, 434

Given numbers are 274, 788, 942, 440
The greatest common divisor of numbers 274, 788, 942, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 788, 942, 440 is 2.

1. What is the GCD of 274, 788, 942, 440?

GCD of given numbers 274, 788, 942, 440 is 2

2. How to calculate the greatest common divisor of 274, 788, 942, 440?

We can find the highest common divisor of 274, 788, 942, 440 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 274, 788, 942, 440 i.e 2.

3. How can I use the GCD of 274, 788, 942, 440Calculator?

Out the numbers 274, 788, 942, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.