GCD of 50, 45, 90, 35 Calculator

Given Input numbers are 50, 45, 90, 35

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

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 35 :

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

1, 5, 7, 35

GCD of numbers is the greatest common divisor

So, the GCD (50, 45, 90, 35) = 5.

Given numbers are 50, 45, 90, 35

The list of prime factors of all numbers are

Prime factors of 50 are 2 x 5 x 5

Prime factors of 45 are 3 x 3 x 5

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 35 are 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 50, 45, 90, 35 is 5.

Given numbers are 50, 45, 90, 35

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

Apply this formula for all numbers.

Step1:

LCM(50, 45) = 450

GCD(50, 45) = ( 50 x 45 ) / 450

= 50 / 45

= 50

Step2:

LCM(5, 90) = 90

GCD(5, 90) = ( 5 x 90 ) / 90

= 5 / 90

= 5

Step3:

LCM(5, 35) = 35

GCD(5, 35) = ( 5 x 35 ) / 35

= 5 / 35

= 5

So, Greatest Common Divisor of 50, 45, 90, 35 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 27, 77, 46
• GCD of 88, 91, 44, 31
• GCD of 20, 29, 26, 52
• GCD of 93, 37, 26, 63
• GCD of 92, 93, 25, 99

Given numbers are 50, 45, 90, 35
The greatest common divisor of numbers 50, 45, 90, 35 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 50, 45, 90, 35 is 5.

1. What is the GCD of 50, 45, 90, 35?

GCD of given numbers 50, 45, 90, 35 is 5

2. How to calculate the greatest common divisor of 50, 45, 90, 35?

We can find the highest common divisor of 50, 45, 90, 35 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 50, 45, 90, 35 i.e 5.

3. How can I use the GCD of 50, 45, 90, 35Calculator?

Out the numbers 50, 45, 90, 35 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.