GCD of 49, 35, 60 Calculator

Given Input numbers are 49, 35, 60

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

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

Divisors of 35 :

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

1, 5, 7, 35

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

GCD of numbers is the greatest common divisor

So, the GCD (49, 35, 60) = 1.

Given numbers are 49, 35, 60

The list of prime factors of all numbers are

Prime factors of 49 are 7 x 7

Prime factors of 35 are 5 x 7

Prime factors of 60 are 2 x 2 x 3 x 5

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

Given numbers are 49, 35, 60

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

Apply this formula for all numbers.

Step1:

LCM(49, 35) = 245

GCD(49, 35) = ( 49 x 35 ) / 245

= 49 / 35

= 49

Step2:

LCM(7, 60) = 420

GCD(7, 60) = ( 7 x 60 ) / 420

= 7 / 60

= 7

So, Greatest Common Divisor of 49, 35, 60 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 25, 57
• GCD of 47, 83, 60
• GCD of 27, 56, 30
• GCD of 96, 83, 54
• GCD of 51, 69, 48

Given numbers are 49, 35, 60
The greatest common divisor of numbers 49, 35, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 49, 35, 60 is 1.

1. What is the GCD of 49, 35, 60?

GCD of given numbers 49, 35, 60 is 1

2. How to calculate the greatest common divisor of 49, 35, 60?

We can find the highest common divisor of 49, 35, 60 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 49, 35, 60 i.e 1.

3. How can I use the GCD of 49, 35, 60Calculator?

Out the numbers 49, 35, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.