GCD of 420, 766, 134, 678 Calculator

Given Input numbers are 420, 766, 134, 678

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (420, 766, 134, 678) = 2.

Given numbers are 420, 766, 134, 678

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 766 are 2 x 383

Prime factors of 134 are 2 x 67

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 420, 766, 134, 678 is 2.

Given numbers are 420, 766, 134, 678

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

Apply this formula for all numbers.

Step1:

LCM(420, 766) = 160860

GCD(420, 766) = ( 420 x 766 ) / 160860

= 420 / 766

= 420

Step2:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 420, 766, 134, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 917, 173, 225
• GCD of 612, 163, 191, 530
• GCD of 714, 443, 210, 204
• GCD of 700, 732, 490, 314
• GCD of 406, 954, 397, 733

Given numbers are 420, 766, 134, 678
The greatest common divisor of numbers 420, 766, 134, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 766, 134, 678 is 2.

1. What is the GCD of 420, 766, 134, 678?

GCD of given numbers 420, 766, 134, 678 is 2

2. How to calculate the greatest common divisor of 420, 766, 134, 678?

We can find the highest common divisor of 420, 766, 134, 678 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, 766, 134, 678 i.e 2.

3. How can I use the GCD of 420, 766, 134, 678Calculator?

Out the numbers 420, 766, 134, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.