GCD of 298, 802, 968, 504 Calculator

Given Input numbers are 298, 802, 968, 504

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 802 :

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

1, 2, 401, 802

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (298, 802, 968, 504) = 2.

Given numbers are 298, 802, 968, 504

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 802 are 2 x 401

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 298, 802, 968, 504 is 2.

Given numbers are 298, 802, 968, 504

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

Apply this formula for all numbers.

Step1:

LCM(298, 802) = 119498

GCD(298, 802) = ( 298 x 802 ) / 119498

= 298 / 802

= 298

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 298, 802, 968, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 988, 441, 140
• GCD of 566, 452, 891, 890
• GCD of 598, 351, 423, 396
• GCD of 807, 874, 153, 573
• GCD of 118, 430, 311, 893

Given numbers are 298, 802, 968, 504
The greatest common divisor of numbers 298, 802, 968, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 802, 968, 504 is 2.

1. What is the GCD of 298, 802, 968, 504?

GCD of given numbers 298, 802, 968, 504 is 2

2. How to calculate the greatest common divisor of 298, 802, 968, 504?

We can find the highest common divisor of 298, 802, 968, 504 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 298, 802, 968, 504 i.e 2.

3. How can I use the GCD of 298, 802, 968, 504Calculator?

Out the numbers 298, 802, 968, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.