GCD of 742, 946, 376, 858 Calculator

Given Input numbers are 742, 946, 376, 858

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (742, 946, 376, 858) = 2.

Given numbers are 742, 946, 376, 858

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 946 are 2 x 11 x 43

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 858 are 2 x 3 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 742, 946, 376, 858 is 2.

Given numbers are 742, 946, 376, 858

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

Apply this formula for all numbers.

Step1:

LCM(742, 946) = 350966

GCD(742, 946) = ( 742 x 946 ) / 350966

= 742 / 946

= 742

Step2:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

Step3:

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

= 2 / 858

= 2

So, Greatest Common Divisor of 742, 946, 376, 858 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 379, 629, 796
• GCD of 986, 223, 855, 560
• GCD of 473, 982, 609, 901
• GCD of 115, 785, 968, 305
• GCD of 572, 928, 996, 650

Given numbers are 742, 946, 376, 858
The greatest common divisor of numbers 742, 946, 376, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 946, 376, 858 is 2.

1. What is the GCD of 742, 946, 376, 858?

GCD of given numbers 742, 946, 376, 858 is 2

2. How to calculate the greatest common divisor of 742, 946, 376, 858?

We can find the highest common divisor of 742, 946, 376, 858 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 742, 946, 376, 858 i.e 2.

3. How can I use the GCD of 742, 946, 376, 858Calculator?

Out the numbers 742, 946, 376, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.