GCD of 996, 538, 762, 140 Calculator

Given Input numbers are 996, 538, 762, 140

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

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 (996, 538, 762, 140) = 2.

Given numbers are 996, 538, 762, 140

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 538 are 2 x 269

Prime factors of 762 are 2 x 3 x 127

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

The highest common occurrence is 2¹

Therefore, GCD of 996, 538, 762, 140 is 2.

Given numbers are 996, 538, 762, 140

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

Apply this formula for all numbers.

Step1:

LCM(996, 538) = 267924

GCD(996, 538) = ( 996 x 538 ) / 267924

= 996 / 538

= 996

Step2:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

Step3:

LCM(2, 140) = 140

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

= 2 / 140

= 2

So, Greatest Common Divisor of 996, 538, 762, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 966, 428, 598
• GCD of 351, 508, 653, 747
• GCD of 508, 560, 201, 115
• GCD of 209, 398, 364, 114
• GCD of 697, 959, 126, 397

Given numbers are 996, 538, 762, 140
The greatest common divisor of numbers 996, 538, 762, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 538, 762, 140 is 2.

1. What is the GCD of 996, 538, 762, 140?

GCD of given numbers 996, 538, 762, 140 is 2

2. How to calculate the greatest common divisor of 996, 538, 762, 140?

We can find the highest common divisor of 996, 538, 762, 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 996, 538, 762, 140 i.e 2.

3. How can I use the GCD of 996, 538, 762, 140Calculator?

Out the numbers 996, 538, 762, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.