GCD of 260, 364, 962, 117 Calculator

Given Input numbers are 260, 364, 962, 117

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (260, 364, 962, 117) = 13.

Given numbers are 260, 364, 962, 117

The list of prime factors of all numbers are

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 962 are 2 x 13 x 37

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 13¹

Therefore, GCD of 260, 364, 962, 117 is 13.

Given numbers are 260, 364, 962, 117

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

Apply this formula for all numbers.

Step1:

LCM(260, 364) = 1820

GCD(260, 364) = ( 260 x 364 ) / 1820

= 260 / 364

= 260

Step2:

LCM(52, 962) = 1924

GCD(52, 962) = ( 52 x 962 ) / 1924

= 52 / 962

= 52

Step3:

LCM(26, 117) = 234

GCD(26, 117) = ( 26 x 117 ) / 234

= 26 / 117

= 26

So, Greatest Common Divisor of 260, 364, 962, 117 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 556, 746, 534
• GCD of 156, 350, 686, 511
• GCD of 364, 489, 995, 746
• GCD of 375, 828, 221, 745
• GCD of 692, 357, 246, 762

Given numbers are 260, 364, 962, 117
The greatest common divisor of numbers 260, 364, 962, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 364, 962, 117 is 13.

1. What is the GCD of 260, 364, 962, 117?

GCD of given numbers 260, 364, 962, 117 is 13

2. How to calculate the greatest common divisor of 260, 364, 962, 117?

We can find the highest common divisor of 260, 364, 962, 117 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, 364, 962, 117 i.e 13.

3. How can I use the GCD of 260, 364, 962, 117Calculator?

Out the numbers 260, 364, 962, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.