GCD of 496, 730, 140 Calculator

Given Input numbers are 496, 730, 140

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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

GCD of numbers is the greatest common divisor

So, the GCD (496, 730, 140) = 2.

Given numbers are 496, 730, 140

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 730 are 2 x 5 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 496, 730, 140 is 2.

Given numbers are 496, 730, 140

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

Apply this formula for all numbers.

Step1:

LCM(496, 730) = 181040

GCD(496, 730) = ( 496 x 730 ) / 181040

= 496 / 730

= 496

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 496, 730, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 254, 347
• GCD of 308, 333, 785
• GCD of 952, 714, 180
• GCD of 253, 357, 539
• GCD of 871, 797, 582

Given numbers are 496, 730, 140
The greatest common divisor of numbers 496, 730, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 730, 140 is 2.

1. What is the GCD of 496, 730, 140?

GCD of given numbers 496, 730, 140 is 2

2. How to calculate the greatest common divisor of 496, 730, 140?

We can find the highest common divisor of 496, 730, 140 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 496, 730, 140 i.e 2.

3. How can I use the GCD of 496, 730, 140Calculator?

Out the numbers 496, 730, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.