GCD of 496, 940, 764, 102 Calculator

Given Input numbers are 496, 940, 764, 102

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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (496, 940, 764, 102) = 2.

Given numbers are 496, 940, 764, 102

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 940 are 2 x 2 x 5 x 47

Prime factors of 764 are 2 x 2 x 191

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 496, 940, 764, 102 is 2.

Given numbers are 496, 940, 764, 102

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

Apply this formula for all numbers.

Step1:

LCM(496, 940) = 116560

GCD(496, 940) = ( 496 x 940 ) / 116560

= 496 / 940

= 496

Step2:

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

= 4 / 764

= 4

Step3:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

So, Greatest Common Divisor of 496, 940, 764, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 493, 932, 508
• GCD of 590, 769, 818, 357
• GCD of 528, 914, 880, 560
• GCD of 854, 322, 369, 314
• GCD of 427, 727, 971, 467

Given numbers are 496, 940, 764, 102
The greatest common divisor of numbers 496, 940, 764, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 940, 764, 102 is 2.

1. What is the GCD of 496, 940, 764, 102?

GCD of given numbers 496, 940, 764, 102 is 2

2. How to calculate the greatest common divisor of 496, 940, 764, 102?

We can find the highest common divisor of 496, 940, 764, 102 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, 940, 764, 102 i.e 2.

3. How can I use the GCD of 496, 940, 764, 102Calculator?

Out the numbers 496, 940, 764, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.