GCD of 802, 748, 716, 994 Calculator

Given Input numbers are 802, 748, 716, 994

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (802, 748, 716, 994) = 2.

Given numbers are 802, 748, 716, 994

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 716 are 2 x 2 x 179

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 802, 748, 716, 994 is 2.

Given numbers are 802, 748, 716, 994

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

Apply this formula for all numbers.

Step1:

LCM(802, 748) = 299948

GCD(802, 748) = ( 802 x 748 ) / 299948

= 802 / 748

= 802

Step2:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

Step3:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

So, Greatest Common Divisor of 802, 748, 716, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 745, 268, 536
• GCD of 648, 672, 900, 995
• GCD of 731, 315, 545, 298
• GCD of 196, 992, 167, 699
• GCD of 296, 149, 355, 815

Given numbers are 802, 748, 716, 994
The greatest common divisor of numbers 802, 748, 716, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 748, 716, 994 is 2.

1. What is the GCD of 802, 748, 716, 994?

GCD of given numbers 802, 748, 716, 994 is 2

2. How to calculate the greatest common divisor of 802, 748, 716, 994?

We can find the highest common divisor of 802, 748, 716, 994 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 802, 748, 716, 994 i.e 2.

3. How can I use the GCD of 802, 748, 716, 994Calculator?

Out the numbers 802, 748, 716, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.