GCD of 140, 495, 498, 960 Calculator

Given Input numbers are 140, 495, 498, 960

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (140, 495, 498, 960) = 1.

Given numbers are 140, 495, 498, 960

The list of prime factors of all numbers are

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

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 498 are 2 x 3 x 83

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 140, 495, 498, 960

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

Apply this formula for all numbers.

Step1:

LCM(140, 495) = 13860

GCD(140, 495) = ( 140 x 495 ) / 13860

= 140 / 495

= 140

Step2:

LCM(5, 498) = 2490

GCD(5, 498) = ( 5 x 498 ) / 2490

= 5 / 498

= 5

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 140, 495, 498, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 328, 760, 817
• GCD of 303, 206, 351, 268
• GCD of 702, 870, 603, 132
• GCD of 392, 141, 964, 994
• GCD of 242, 979, 346, 184

Given numbers are 140, 495, 498, 960
The greatest common divisor of numbers 140, 495, 498, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 495, 498, 960 is 1.

1. What is the GCD of 140, 495, 498, 960?

GCD of given numbers 140, 495, 498, 960 is 1

2. How to calculate the greatest common divisor of 140, 495, 498, 960?

We can find the highest common divisor of 140, 495, 498, 960 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, 495, 498, 960 i.e 1.

3. How can I use the GCD of 140, 495, 498, 960Calculator?

Out the numbers 140, 495, 498, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.