GCD of 378, 430, 896, 902 Calculator

Given Input numbers are 378, 430, 896, 902

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

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

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

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 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

GCD of numbers is the greatest common divisor

So, the GCD (378, 430, 896, 902) = 2.

Given numbers are 378, 430, 896, 902

The list of prime factors of all numbers are

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

Prime factors of 430 are 2 x 5 x 43

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

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 2¹

Therefore, GCD of 378, 430, 896, 902 is 2.

Given numbers are 378, 430, 896, 902

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

Apply this formula for all numbers.

Step1:

LCM(378, 430) = 81270

GCD(378, 430) = ( 378 x 430 ) / 81270

= 378 / 430

= 378

Step2:

LCM(2, 896) = 896

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

= 2 / 896

= 2

Step3:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2

So, Greatest Common Divisor of 378, 430, 896, 902 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 443, 351, 461
• GCD of 298, 805, 779, 872
• GCD of 758, 170, 476, 863
• GCD of 195, 423, 411, 238
• GCD of 226, 640, 918, 652

Given numbers are 378, 430, 896, 902
The greatest common divisor of numbers 378, 430, 896, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 430, 896, 902 is 2.

1. What is the GCD of 378, 430, 896, 902?

GCD of given numbers 378, 430, 896, 902 is 2

2. How to calculate the greatest common divisor of 378, 430, 896, 902?

We can find the highest common divisor of 378, 430, 896, 902 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 378, 430, 896, 902 i.e 2.

3. How can I use the GCD of 378, 430, 896, 902Calculator?

Out the numbers 378, 430, 896, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.