GCD of 862, 916, 428, 740 Calculator

Given Input numbers are 862, 916, 428, 740

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

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (862, 916, 428, 740) = 2.

Given numbers are 862, 916, 428, 740

The list of prime factors of all numbers are

Prime factors of 862 are 2 x 431

Prime factors of 916 are 2 x 2 x 229

Prime factors of 428 are 2 x 2 x 107

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 862, 916, 428, 740 is 2.

Given numbers are 862, 916, 428, 740

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

Apply this formula for all numbers.

Step1:

LCM(862, 916) = 394796

GCD(862, 916) = ( 862 x 916 ) / 394796

= 862 / 916

= 862

Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 862, 916, 428, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 127, 416, 318
• GCD of 144, 952, 709, 142
• GCD of 266, 370, 207, 615
• GCD of 320, 352, 515, 988
• GCD of 373, 737, 714, 150

Given numbers are 862, 916, 428, 740
The greatest common divisor of numbers 862, 916, 428, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 916, 428, 740 is 2.

1. What is the GCD of 862, 916, 428, 740?

GCD of given numbers 862, 916, 428, 740 is 2

2. How to calculate the greatest common divisor of 862, 916, 428, 740?

We can find the highest common divisor of 862, 916, 428, 740 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 862, 916, 428, 740 i.e 2.

3. How can I use the GCD of 862, 916, 428, 740Calculator?

Out the numbers 862, 916, 428, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.