GCD of 297, 902, 690, 314 Calculator

Given Input numbers are 297, 902, 690, 314

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 (297, 902, 690, 314) = 1.

Given numbers are 297, 902, 690, 314

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 902 are 2 x 11 x 41

Prime factors of 690 are 2 x 3 x 5 x 23

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 297, 902, 690, 314

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

Apply this formula for all numbers.

Step1:

LCM(297, 902) = 24354

GCD(297, 902) = ( 297 x 902 ) / 24354

= 297 / 902

= 297

Step2:

LCM(11, 690) = 7590

GCD(11, 690) = ( 11 x 690 ) / 7590

= 11 / 690

= 11

Step3:

LCM(1, 314) = 314

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

= 1 / 314

= 1

So, Greatest Common Divisor of 297, 902, 690, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 315, 576, 668
• GCD of 560, 892, 914, 918
• GCD of 453, 724, 848, 318
• GCD of 190, 800, 646, 262
• GCD of 708, 255, 595, 257

Given numbers are 297, 902, 690, 314
The greatest common divisor of numbers 297, 902, 690, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 902, 690, 314 is 1.

1. What is the GCD of 297, 902, 690, 314?

GCD of given numbers 297, 902, 690, 314 is 1

2. How to calculate the greatest common divisor of 297, 902, 690, 314?

We can find the highest common divisor of 297, 902, 690, 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 297, 902, 690, 314 i.e 1.

3. How can I use the GCD of 297, 902, 690, 314Calculator?

Out the numbers 297, 902, 690, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.