GCD of 420, 378, 702, 364 Calculator

Given Input numbers are 420, 378, 702, 364

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (420, 378, 702, 364) = 2.

Given numbers are 420, 378, 702, 364

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 420, 378, 702, 364 is 2.

Given numbers are 420, 378, 702, 364

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

Apply this formula for all numbers.

Step1:

LCM(420, 378) = 3780

GCD(420, 378) = ( 420 x 378 ) / 3780

= 420 / 378

= 420

Step2:

LCM(42, 702) = 4914

GCD(42, 702) = ( 42 x 702 ) / 4914

= 42 / 702

= 42

Step3:

LCM(6, 364) = 1092

GCD(6, 364) = ( 6 x 364 ) / 1092

= 6 / 364

= 6

So, Greatest Common Divisor of 420, 378, 702, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 180, 346, 992
• GCD of 651, 482, 394, 759
• GCD of 775, 497, 158, 485
• GCD of 972, 649, 138, 433
• GCD of 751, 407, 728, 223

Given numbers are 420, 378, 702, 364
The greatest common divisor of numbers 420, 378, 702, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 378, 702, 364 is 2.

1. What is the GCD of 420, 378, 702, 364?

GCD of given numbers 420, 378, 702, 364 is 2

2. How to calculate the greatest common divisor of 420, 378, 702, 364?

We can find the highest common divisor of 420, 378, 702, 364 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 420, 378, 702, 364 i.e 2.

3. How can I use the GCD of 420, 378, 702, 364Calculator?

Out the numbers 420, 378, 702, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.