GCD of 140, 162, 734, 498 Calculator

Given Input numbers are 140, 162, 734, 498

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (140, 162, 734, 498) = 2.

Given numbers are 140, 162, 734, 498

The list of prime factors of all numbers are

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 734 are 2 x 367

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 140, 162, 734, 498 is 2.

Given numbers are 140, 162, 734, 498

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

Apply this formula for all numbers.

Step1:

LCM(140, 162) = 11340

GCD(140, 162) = ( 140 x 162 ) / 11340

= 140 / 162

= 140

Step2:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 140, 162, 734, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 492, 771, 961
• GCD of 304, 930, 791, 765
• GCD of 211, 776, 991, 315
• GCD of 410, 958, 646, 759
• GCD of 212, 404, 945, 410

Given numbers are 140, 162, 734, 498
The greatest common divisor of numbers 140, 162, 734, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 162, 734, 498 is 2.

1. What is the GCD of 140, 162, 734, 498?

GCD of given numbers 140, 162, 734, 498 is 2

2. How to calculate the greatest common divisor of 140, 162, 734, 498?

We can find the highest common divisor of 140, 162, 734, 498 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, 162, 734, 498 i.e 2.

3. How can I use the GCD of 140, 162, 734, 498Calculator?

Out the numbers 140, 162, 734, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.