GCD of 140, 240, 375, 546 Calculator

Given Input numbers are 140, 240, 375, 546

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

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

GCD of numbers is the greatest common divisor

So, the GCD (140, 240, 375, 546) = 1.

Given numbers are 140, 240, 375, 546

The list of prime factors of all numbers are

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 375 are 3 x 5 x 5 x 5

Prime factors of 546 are 2 x 3 x 7 x 13

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

Given numbers are 140, 240, 375, 546

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

Apply this formula for all numbers.

Step1:

LCM(140, 240) = 1680

GCD(140, 240) = ( 140 x 240 ) / 1680

= 140 / 240

= 140

Step2:

LCM(20, 375) = 1500

GCD(20, 375) = ( 20 x 375 ) / 1500

= 20 / 375

= 20

Step3:

LCM(5, 546) = 2730

GCD(5, 546) = ( 5 x 546 ) / 2730

= 5 / 546

= 5

So, Greatest Common Divisor of 140, 240, 375, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 118, 164, 580
• GCD of 267, 847, 823, 875
• GCD of 319, 845, 303, 304
• GCD of 897, 664, 628, 246
• GCD of 187, 745, 572, 980

Given numbers are 140, 240, 375, 546
The greatest common divisor of numbers 140, 240, 375, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 240, 375, 546 is 1.

1. What is the GCD of 140, 240, 375, 546?

GCD of given numbers 140, 240, 375, 546 is 1

2. How to calculate the greatest common divisor of 140, 240, 375, 546?

We can find the highest common divisor of 140, 240, 375, 546 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 140, 240, 375, 546 i.e 1.

3. How can I use the GCD of 140, 240, 375, 546Calculator?

Out the numbers 140, 240, 375, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.