GCD of 675, 140, 240, 615 Calculator

Given Input numbers are 675, 140, 240, 615

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

GCD of numbers is the greatest common divisor

So, the GCD (675, 140, 240, 615) = 5.

Given numbers are 675, 140, 240, 615

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 615 are 3 x 5 x 41

The highest common occurrence is 5¹

Therefore, GCD of 675, 140, 240, 615 is 5.

Given numbers are 675, 140, 240, 615

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

Apply this formula for all numbers.

Step1:

LCM(675, 140) = 18900

GCD(675, 140) = ( 675 x 140 ) / 18900

= 675 / 140

= 675

Step2:

LCM(5, 240) = 240

GCD(5, 240) = ( 5 x 240 ) / 240

= 5 / 240

= 5

Step3:

LCM(5, 615) = 615

GCD(5, 615) = ( 5 x 615 ) / 615

= 5 / 615

= 5

So, Greatest Common Divisor of 675, 140, 240, 615 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 973, 275, 646
• GCD of 786, 160, 355, 321
• GCD of 908, 920, 115, 741
• GCD of 269, 663, 688, 643
• GCD of 426, 957, 290, 971

Given numbers are 675, 140, 240, 615
The greatest common divisor of numbers 675, 140, 240, 615 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 140, 240, 615 is 5.

1. What is the GCD of 675, 140, 240, 615?

GCD of given numbers 675, 140, 240, 615 is 5

2. How to calculate the greatest common divisor of 675, 140, 240, 615?

We can find the highest common divisor of 675, 140, 240, 615 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 675, 140, 240, 615 i.e 5.

3. How can I use the GCD of 675, 140, 240, 615Calculator?

Out the numbers 675, 140, 240, 615 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.