GCD of 776, 432, 994, 698 Calculator

Given Input numbers are 776, 432, 994, 698

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

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 994 :

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

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (776, 432, 994, 698) = 2.

Given numbers are 776, 432, 994, 698

The list of prime factors of all numbers are

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 994 are 2 x 7 x 71

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 776, 432, 994, 698 is 2.

Given numbers are 776, 432, 994, 698

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

Apply this formula for all numbers.

Step1:

LCM(776, 432) = 41904

GCD(776, 432) = ( 776 x 432 ) / 41904

= 776 / 432

= 776

Step2:

LCM(8, 994) = 3976

GCD(8, 994) = ( 8 x 994 ) / 3976

= 8 / 994

= 8

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 776, 432, 994, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 180, 459, 870
• GCD of 561, 863, 824, 987
• GCD of 661, 630, 456, 693
• GCD of 176, 455, 986, 765
• GCD of 428, 444, 423, 518

Given numbers are 776, 432, 994, 698
The greatest common divisor of numbers 776, 432, 994, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 432, 994, 698 is 2.

1. What is the GCD of 776, 432, 994, 698?

GCD of given numbers 776, 432, 994, 698 is 2

2. How to calculate the greatest common divisor of 776, 432, 994, 698?

We can find the highest common divisor of 776, 432, 994, 698 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 776, 432, 994, 698 i.e 2.

3. How can I use the GCD of 776, 432, 994, 698Calculator?

Out the numbers 776, 432, 994, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.