GCD of 378, 602, 654, 914 Calculator

Given Input numbers are 378, 602, 654, 914

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 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (378, 602, 654, 914) = 2.

Given numbers are 378, 602, 654, 914

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 602 are 2 x 7 x 43

Prime factors of 654 are 2 x 3 x 109

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 378, 602, 654, 914 is 2.

Given numbers are 378, 602, 654, 914

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

Apply this formula for all numbers.

Step1:

LCM(378, 602) = 16254

GCD(378, 602) = ( 378 x 602 ) / 16254

= 378 / 602

= 378

Step2:

LCM(14, 654) = 4578

GCD(14, 654) = ( 14 x 654 ) / 4578

= 14 / 654

= 14

Step3:

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

= 2 / 914

= 2

So, Greatest Common Divisor of 378, 602, 654, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 725, 240, 174
• GCD of 174, 578, 846, 925
• GCD of 904, 148, 492, 119
• GCD of 324, 919, 765, 226
• GCD of 838, 352, 255, 674

Given numbers are 378, 602, 654, 914
The greatest common divisor of numbers 378, 602, 654, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 602, 654, 914 is 2.

1. What is the GCD of 378, 602, 654, 914?

GCD of given numbers 378, 602, 654, 914 is 2

2. How to calculate the greatest common divisor of 378, 602, 654, 914?

We can find the highest common divisor of 378, 602, 654, 914 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, 602, 654, 914 i.e 2.

3. How can I use the GCD of 378, 602, 654, 914Calculator?

Out the numbers 378, 602, 654, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.