GCD of 260, 698, 106, 938 Calculator

Given Input numbers are 260, 698, 106, 938

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 938 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (260, 698, 106, 938) = 2.

Given numbers are 260, 698, 106, 938

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 698 are 2 x 349

Prime factors of 106 are 2 x 53

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 260, 698, 106, 938 is 2.

Given numbers are 260, 698, 106, 938

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

Apply this formula for all numbers.

Step1:

LCM(260, 698) = 90740

GCD(260, 698) = ( 260 x 698 ) / 90740

= 260 / 698

= 260

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 260, 698, 106, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 457, 245, 735
• GCD of 564, 599, 442, 970
• GCD of 429, 504, 385, 944
• GCD of 407, 726, 214, 461
• GCD of 106, 387, 785, 231

Given numbers are 260, 698, 106, 938
The greatest common divisor of numbers 260, 698, 106, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 698, 106, 938 is 2.

1. What is the GCD of 260, 698, 106, 938?

GCD of given numbers 260, 698, 106, 938 is 2

2. How to calculate the greatest common divisor of 260, 698, 106, 938?

We can find the highest common divisor of 260, 698, 106, 938 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 260, 698, 106, 938 i.e 2.

3. How can I use the GCD of 260, 698, 106, 938Calculator?

Out the numbers 260, 698, 106, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.