GCD of 704, 512, 236, 148 Calculator

Given Input numbers are 704, 512, 236, 148

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (704, 512, 236, 148) = 4.

Given numbers are 704, 512, 236, 148

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 236 are 2 x 2 x 59

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 704, 512, 236, 148 is 4.

Given numbers are 704, 512, 236, 148

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

Apply this formula for all numbers.

Step1:

LCM(704, 512) = 5632

GCD(704, 512) = ( 704 x 512 ) / 5632

= 704 / 512

= 704

Step2:

LCM(64, 236) = 3776

GCD(64, 236) = ( 64 x 236 ) / 3776

= 64 / 236

= 64

Step3:

LCM(4, 148) = 148

GCD(4, 148) = ( 4 x 148 ) / 148

= 4 / 148

= 4

So, Greatest Common Divisor of 704, 512, 236, 148 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 304, 135, 359
• GCD of 868, 156, 716, 340
• GCD of 314, 956, 771, 724
• GCD of 285, 513, 137, 132
• GCD of 178, 122, 359, 906

Given numbers are 704, 512, 236, 148
The greatest common divisor of numbers 704, 512, 236, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 512, 236, 148 is 4.

1. What is the GCD of 704, 512, 236, 148?

GCD of given numbers 704, 512, 236, 148 is 4

2. How to calculate the greatest common divisor of 704, 512, 236, 148?

We can find the highest common divisor of 704, 512, 236, 148 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 704, 512, 236, 148 i.e 4.

3. How can I use the GCD of 704, 512, 236, 148Calculator?

Out the numbers 704, 512, 236, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.