GCD of 724, 356, 884, 148 Calculator

Given Input numbers are 724, 356, 884, 148

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 (724, 356, 884, 148) = 4.

Given numbers are 724, 356, 884, 148

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 356 are 2 x 2 x 89

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 724, 356, 884, 148 is 4.

Given numbers are 724, 356, 884, 148

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

Apply this formula for all numbers.

Step1:

LCM(724, 356) = 64436

GCD(724, 356) = ( 724 x 356 ) / 64436

= 724 / 356

= 724

Step2:

LCM(4, 884) = 884

GCD(4, 884) = ( 4 x 884 ) / 884

= 4 / 884

= 4

Step3:

LCM(4, 148) = 148

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

= 4 / 148

= 4

So, Greatest Common Divisor of 724, 356, 884, 148 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 824, 827, 711
• GCD of 325, 632, 582, 549
• GCD of 295, 840, 163, 430
• GCD of 158, 367, 174, 665
• GCD of 989, 748, 285, 424

Given numbers are 724, 356, 884, 148
The greatest common divisor of numbers 724, 356, 884, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 356, 884, 148 is 4.

1. What is the GCD of 724, 356, 884, 148?

GCD of given numbers 724, 356, 884, 148 is 4

2. How to calculate the greatest common divisor of 724, 356, 884, 148?

We can find the highest common divisor of 724, 356, 884, 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 724, 356, 884, 148 i.e 4.

3. How can I use the GCD of 724, 356, 884, 148Calculator?

Out the numbers 724, 356, 884, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.