GCD of 464, 690, 152, 992 Calculator

Given Input numbers are 464, 690, 152, 992

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (464, 690, 152, 992) = 2.

Given numbers are 464, 690, 152, 992

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 464, 690, 152, 992 is 2.

Given numbers are 464, 690, 152, 992

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

Apply this formula for all numbers.

Step1:

LCM(464, 690) = 160080

GCD(464, 690) = ( 464 x 690 ) / 160080

= 464 / 690

= 464

Step2:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 464, 690, 152, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 148, 572, 771
• GCD of 778, 215, 203, 206
• GCD of 879, 967, 109, 317
• GCD of 982, 588, 479, 911
• GCD of 540, 117, 245, 252

Given numbers are 464, 690, 152, 992
The greatest common divisor of numbers 464, 690, 152, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 690, 152, 992 is 2.

1. What is the GCD of 464, 690, 152, 992?

GCD of given numbers 464, 690, 152, 992 is 2

2. How to calculate the greatest common divisor of 464, 690, 152, 992?

We can find the highest common divisor of 464, 690, 152, 992 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 464, 690, 152, 992 i.e 2.

3. How can I use the GCD of 464, 690, 152, 992Calculator?

Out the numbers 464, 690, 152, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.