GCD of 702, 698, 533, 314 Calculator

Given Input numbers are 702, 698, 533, 314

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (702, 698, 533, 314) = 1.

Given numbers are 702, 698, 533, 314

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 698 are 2 x 349

Prime factors of 533 are 13 x 41

Prime factors of 314 are 2 x 157

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 702, 698, 533, 314

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

Apply this formula for all numbers.

Step1:

LCM(702, 698) = 244998

GCD(702, 698) = ( 702 x 698 ) / 244998

= 702 / 698

= 702

Step2:

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

= 2 / 533

= 2

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 702, 698, 533, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 914, 557, 143
• GCD of 363, 215, 735, 948
• GCD of 910, 924, 496, 598
• GCD of 331, 761, 801, 727
• GCD of 922, 899, 772, 346

Given numbers are 702, 698, 533, 314
The greatest common divisor of numbers 702, 698, 533, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 698, 533, 314 is 1.

1. What is the GCD of 702, 698, 533, 314?

GCD of given numbers 702, 698, 533, 314 is 1

2. How to calculate the greatest common divisor of 702, 698, 533, 314?

We can find the highest common divisor of 702, 698, 533, 314 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 702, 698, 533, 314 i.e 1.

3. How can I use the GCD of 702, 698, 533, 314Calculator?

Out the numbers 702, 698, 533, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.