GCD of 492, 742, 710, 678 Calculator

Given Input numbers are 492, 742, 710, 678

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

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 (492, 742, 710, 678) = 2.

Given numbers are 492, 742, 710, 678

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 742 are 2 x 7 x 53

Prime factors of 710 are 2 x 5 x 71

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 492, 742, 710, 678 is 2.

Given numbers are 492, 742, 710, 678

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

Apply this formula for all numbers.

Step1:

LCM(492, 742) = 182532

GCD(492, 742) = ( 492 x 742 ) / 182532

= 492 / 742

= 492

Step2:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2

Step3:

LCM(2, 678) = 678

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

= 2 / 678

= 2

So, Greatest Common Divisor of 492, 742, 710, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 900, 125, 472
• GCD of 907, 797, 656, 867
• GCD of 427, 648, 779, 949
• GCD of 798, 432, 185, 340
• GCD of 753, 429, 612, 917

Given numbers are 492, 742, 710, 678
The greatest common divisor of numbers 492, 742, 710, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 742, 710, 678 is 2.

1. What is the GCD of 492, 742, 710, 678?

GCD of given numbers 492, 742, 710, 678 is 2

2. How to calculate the greatest common divisor of 492, 742, 710, 678?

We can find the highest common divisor of 492, 742, 710, 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 492, 742, 710, 678 i.e 2.

3. How can I use the GCD of 492, 742, 710, 678Calculator?

Out the numbers 492, 742, 710, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.