GCD of 760, 896, 286, 996 Calculator

Given Input numbers are 760, 896, 286, 996

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

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

GCD of numbers is the greatest common divisor

So, the GCD (760, 896, 286, 996) = 2.

Given numbers are 760, 896, 286, 996

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 286 are 2 x 11 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 760, 896, 286, 996 is 2.

Given numbers are 760, 896, 286, 996

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

Apply this formula for all numbers.

Step1:

LCM(760, 896) = 85120

GCD(760, 896) = ( 760 x 896 ) / 85120

= 760 / 896

= 760

Step2:

LCM(8, 286) = 1144

GCD(8, 286) = ( 8 x 286 ) / 1144

= 8 / 286

= 8

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 760, 896, 286, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 146, 972, 766
• GCD of 192, 195, 498, 612
• GCD of 609, 906, 958, 362
• GCD of 127, 668, 222, 418
• GCD of 679, 232, 466, 795

Given numbers are 760, 896, 286, 996
The greatest common divisor of numbers 760, 896, 286, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 896, 286, 996 is 2.

1. What is the GCD of 760, 896, 286, 996?

GCD of given numbers 760, 896, 286, 996 is 2

2. How to calculate the greatest common divisor of 760, 896, 286, 996?

We can find the highest common divisor of 760, 896, 286, 996 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 760, 896, 286, 996 i.e 2.

3. How can I use the GCD of 760, 896, 286, 996Calculator?

Out the numbers 760, 896, 286, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.