GCD of 274, 398, 688, 710 Calculator

Given Input numbers are 274, 398, 688, 710

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 710 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (274, 398, 688, 710) = 2.

Given numbers are 274, 398, 688, 710

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 398 are 2 x 199

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 2¹

Therefore, GCD of 274, 398, 688, 710 is 2.

Given numbers are 274, 398, 688, 710

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

Apply this formula for all numbers.

Step1:

LCM(274, 398) = 54526

GCD(274, 398) = ( 274 x 398 ) / 54526

= 274 / 398

= 274

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 710) = 710

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

= 2 / 710

= 2

So, Greatest Common Divisor of 274, 398, 688, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 875, 500, 615
• GCD of 856, 998, 265, 709
• GCD of 517, 907, 910, 424
• GCD of 483, 432, 232, 274
• GCD of 961, 709, 218, 985

Given numbers are 274, 398, 688, 710
The greatest common divisor of numbers 274, 398, 688, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 398, 688, 710 is 2.

1. What is the GCD of 274, 398, 688, 710?

GCD of given numbers 274, 398, 688, 710 is 2

2. How to calculate the greatest common divisor of 274, 398, 688, 710?

We can find the highest common divisor of 274, 398, 688, 710 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 274, 398, 688, 710 i.e 2.

3. How can I use the GCD of 274, 398, 688, 710Calculator?

Out the numbers 274, 398, 688, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.