GCD of 856, 742, 896, 378 Calculator

Given Input numbers are 856, 742, 896, 378

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 742 :

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

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (856, 742, 896, 378) = 2.

Given numbers are 856, 742, 896, 378

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 742 are 2 x 7 x 53

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 856, 742, 896, 378 is 2.

Given numbers are 856, 742, 896, 378

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

Apply this formula for all numbers.

Step1:

LCM(856, 742) = 317576

GCD(856, 742) = ( 856 x 742 ) / 317576

= 856 / 742

= 856

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 856, 742, 896, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 297, 474, 407
• GCD of 555, 936, 631, 315
• GCD of 460, 112, 717, 769
• GCD of 464, 270, 581, 988
• GCD of 318, 987, 160, 210

Given numbers are 856, 742, 896, 378
The greatest common divisor of numbers 856, 742, 896, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 742, 896, 378 is 2.

1. What is the GCD of 856, 742, 896, 378?

GCD of given numbers 856, 742, 896, 378 is 2

2. How to calculate the greatest common divisor of 856, 742, 896, 378?

We can find the highest common divisor of 856, 742, 896, 378 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 856, 742, 896, 378 i.e 2.

3. How can I use the GCD of 856, 742, 896, 378Calculator?

Out the numbers 856, 742, 896, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.