GCD of 896, 696, 354, 374 Calculator

Given Input numbers are 896, 696, 354, 374

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

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (896, 696, 354, 374) = 2.

Given numbers are 896, 696, 354, 374

The list of prime factors of all numbers are

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 354 are 2 x 3 x 59

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 896, 696, 354, 374 is 2.

Given numbers are 896, 696, 354, 374

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

Apply this formula for all numbers.

Step1:

LCM(896, 696) = 77952

GCD(896, 696) = ( 896 x 696 ) / 77952

= 896 / 696

= 896

Step2:

LCM(8, 354) = 1416

GCD(8, 354) = ( 8 x 354 ) / 1416

= 8 / 354

= 8

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 896, 696, 354, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 661, 150, 573
• GCD of 881, 178, 125, 437
• GCD of 229, 633, 983, 365
• GCD of 249, 940, 875, 899
• GCD of 390, 642, 453, 431

Given numbers are 896, 696, 354, 374
The greatest common divisor of numbers 896, 696, 354, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 696, 354, 374 is 2.

1. What is the GCD of 896, 696, 354, 374?

GCD of given numbers 896, 696, 354, 374 is 2

2. How to calculate the greatest common divisor of 896, 696, 354, 374?

We can find the highest common divisor of 896, 696, 354, 374 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 896, 696, 354, 374 i.e 2.

3. How can I use the GCD of 896, 696, 354, 374Calculator?

Out the numbers 896, 696, 354, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.