GCD of 428, 734, 918, 114 Calculator

Given Input numbers are 428, 734, 918, 114

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (428, 734, 918, 114) = 2.

Given numbers are 428, 734, 918, 114

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 734 are 2 x 367

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 428, 734, 918, 114 is 2.

Given numbers are 428, 734, 918, 114

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

Apply this formula for all numbers.

Step1:

LCM(428, 734) = 157076

GCD(428, 734) = ( 428 x 734 ) / 157076

= 428 / 734

= 428

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

So, Greatest Common Divisor of 428, 734, 918, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 812, 977, 860
• GCD of 999, 954, 242, 849
• GCD of 408, 964, 676, 787
• GCD of 925, 198, 947, 590
• GCD of 570, 164, 221, 272

Given numbers are 428, 734, 918, 114
The greatest common divisor of numbers 428, 734, 918, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 734, 918, 114 is 2.

1. What is the GCD of 428, 734, 918, 114?

GCD of given numbers 428, 734, 918, 114 is 2

2. How to calculate the greatest common divisor of 428, 734, 918, 114?

We can find the highest common divisor of 428, 734, 918, 114 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 428, 734, 918, 114 i.e 2.

3. How can I use the GCD of 428, 734, 918, 114Calculator?

Out the numbers 428, 734, 918, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.