GCD of 710, 694, 712, 742 Calculator

Given Input numbers are 710, 694, 712, 742

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

Divisors of 710 :

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

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

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (710, 694, 712, 742) = 2.

Given numbers are 710, 694, 712, 742

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 694 are 2 x 347

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 710, 694, 712, 742 is 2.

Given numbers are 710, 694, 712, 742

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

Apply this formula for all numbers.

Step1:

LCM(710, 694) = 246370

GCD(710, 694) = ( 710 x 694 ) / 246370

= 710 / 694

= 710

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 710, 694, 712, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 401, 416, 369
• GCD of 399, 934, 639, 329
• GCD of 989, 210, 709, 816
• GCD of 372, 251, 309, 433
• GCD of 594, 731, 703, 742

Given numbers are 710, 694, 712, 742
The greatest common divisor of numbers 710, 694, 712, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 694, 712, 742 is 2.

1. What is the GCD of 710, 694, 712, 742?

GCD of given numbers 710, 694, 712, 742 is 2

2. How to calculate the greatest common divisor of 710, 694, 712, 742?

We can find the highest common divisor of 710, 694, 712, 742 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 710, 694, 712, 742 i.e 2.

3. How can I use the GCD of 710, 694, 712, 742Calculator?

Out the numbers 710, 694, 712, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.