GCD of 245, 938, 917, 721 Calculator

Given Input numbers are 245, 938, 917, 721

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

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (245, 938, 917, 721) = 7.

Given numbers are 245, 938, 917, 721

The list of prime factors of all numbers are

Prime factors of 245 are 5 x 7 x 7

Prime factors of 938 are 2 x 7 x 67

Prime factors of 917 are 7 x 131

Prime factors of 721 are 7 x 103

The highest common occurrence is 7¹

Therefore, GCD of 245, 938, 917, 721 is 7.

Given numbers are 245, 938, 917, 721

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

Apply this formula for all numbers.

Step1:

LCM(245, 938) = 32830

GCD(245, 938) = ( 245 x 938 ) / 32830

= 245 / 938

= 245

Step2:

LCM(7, 917) = 917

GCD(7, 917) = ( 7 x 917 ) / 917

= 7 / 917

= 7

Step3:

LCM(7, 721) = 721

GCD(7, 721) = ( 7 x 721 ) / 721

= 7 / 721

= 7

So, Greatest Common Divisor of 245, 938, 917, 721 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 538, 188, 723
• GCD of 128, 551, 974, 480
• GCD of 651, 372, 110, 822
• GCD of 429, 245, 522, 667
• GCD of 167, 289, 323, 718

Given numbers are 245, 938, 917, 721
The greatest common divisor of numbers 245, 938, 917, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 245, 938, 917, 721 is 7.

1. What is the GCD of 245, 938, 917, 721?

GCD of given numbers 245, 938, 917, 721 is 7

2. How to calculate the greatest common divisor of 245, 938, 917, 721?

We can find the highest common divisor of 245, 938, 917, 721 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 245, 938, 917, 721 i.e 7.

3. How can I use the GCD of 245, 938, 917, 721Calculator?

Out the numbers 245, 938, 917, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.