GCD of 314, 370, 907, 722 Calculator

Given Input numbers are 314, 370, 907, 722

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 907 :

The positive integer divisors of 907 that completely divides 907 are.

1, 907

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (314, 370, 907, 722) = 1.

Given numbers are 314, 370, 907, 722

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 370 are 2 x 5 x 37

Prime factors of 907 are 907

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 314, 370, 907, 722

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

Apply this formula for all numbers.

Step1:

LCM(314, 370) = 58090

GCD(314, 370) = ( 314 x 370 ) / 58090

= 314 / 370

= 314

Step2:

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

= 2 / 907

= 2

Step3:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

So, Greatest Common Divisor of 314, 370, 907, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 132, 299, 314
• GCD of 954, 527, 783, 997
• GCD of 272, 992, 670, 559
• GCD of 610, 709, 723, 163
• GCD of 233, 343, 802, 259

Given numbers are 314, 370, 907, 722
The greatest common divisor of numbers 314, 370, 907, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 370, 907, 722 is 1.

1. What is the GCD of 314, 370, 907, 722?

GCD of given numbers 314, 370, 907, 722 is 1

2. How to calculate the greatest common divisor of 314, 370, 907, 722?

We can find the highest common divisor of 314, 370, 907, 722 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 314, 370, 907, 722 i.e 1.

3. How can I use the GCD of 314, 370, 907, 722Calculator?

Out the numbers 314, 370, 907, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.