GCD of 61, 35, 64, 13 Calculator

Given Input numbers are 61, 35, 64, 13

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

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

GCD of numbers is the greatest common divisor

So, the GCD (61, 35, 64, 13) = 1.

Given numbers are 61, 35, 64, 13

The list of prime factors of all numbers are

Prime factors of 61 are 61

Prime factors of 35 are 5 x 7

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 13 are 13

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

Given numbers are 61, 35, 64, 13

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

Apply this formula for all numbers.

Step1:

LCM(61, 35) = 2135

GCD(61, 35) = ( 61 x 35 ) / 2135

= 61 / 35

= 61

Step2:

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

= 1 / 64

= 1

Step3:

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

= 1 / 13

= 1

So, Greatest Common Divisor of 61, 35, 64, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 69, 77, 99
• GCD of 50, 80, 90, 41
• GCD of 73, 79, 51, 61
• GCD of 27, 43, 96, 51
• GCD of 85, 41, 18, 72

Given numbers are 61, 35, 64, 13
The greatest common divisor of numbers 61, 35, 64, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 61, 35, 64, 13 is 1.

1. What is the GCD of 61, 35, 64, 13?

GCD of given numbers 61, 35, 64, 13 is 1

2. How to calculate the greatest common divisor of 61, 35, 64, 13?

We can find the highest common divisor of 61, 35, 64, 13 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 61, 35, 64, 13 i.e 1.

3. How can I use the GCD of 61, 35, 64, 13Calculator?

Out the numbers 61, 35, 64, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.