GCD of 310, 714, 538, 698 Calculator

Given Input numbers are 310, 714, 538, 698

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (310, 714, 538, 698) = 2.

Given numbers are 310, 714, 538, 698

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 538 are 2 x 269

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 310, 714, 538, 698 is 2.

Given numbers are 310, 714, 538, 698

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

Apply this formula for all numbers.

Step1:

LCM(310, 714) = 110670

GCD(310, 714) = ( 310 x 714 ) / 110670

= 310 / 714

= 310

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 310, 714, 538, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 401, 617, 472
• GCD of 109, 224, 310, 596
• GCD of 236, 696, 389, 353
• GCD of 960, 897, 962, 947
• GCD of 969, 717, 479, 675

Given numbers are 310, 714, 538, 698
The greatest common divisor of numbers 310, 714, 538, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 714, 538, 698 is 2.

1. What is the GCD of 310, 714, 538, 698?

GCD of given numbers 310, 714, 538, 698 is 2

2. How to calculate the greatest common divisor of 310, 714, 538, 698?

We can find the highest common divisor of 310, 714, 538, 698 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 310, 714, 538, 698 i.e 2.

3. How can I use the GCD of 310, 714, 538, 698Calculator?

Out the numbers 310, 714, 538, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.