GCD of 748, 784, 224, 148 Calculator

Given Input numbers are 748, 784, 224, 148

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 (748, 784, 224, 148) = 4.

Given numbers are 748, 784, 224, 148

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 748, 784, 224, 148 is 4.

Given numbers are 748, 784, 224, 148

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

Apply this formula for all numbers.

Step1:

LCM(748, 784) = 146608

GCD(748, 784) = ( 748 x 784 ) / 146608

= 748 / 784

= 748

Step2:

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

= 4 / 224

= 4

Step3:

LCM(4, 148) = 148

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

= 4 / 148

= 4

So, Greatest Common Divisor of 748, 784, 224, 148 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 822, 767, 536
• GCD of 179, 217, 776, 403
• GCD of 406, 844, 781, 606
• GCD of 369, 102, 230, 192
• GCD of 797, 623, 685, 461

Given numbers are 748, 784, 224, 148
The greatest common divisor of numbers 748, 784, 224, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 784, 224, 148 is 4.

1. What is the GCD of 748, 784, 224, 148?

GCD of given numbers 748, 784, 224, 148 is 4

2. How to calculate the greatest common divisor of 748, 784, 224, 148?

We can find the highest common divisor of 748, 784, 224, 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 748, 784, 224, 148 i.e 4.

3. How can I use the GCD of 748, 784, 224, 148Calculator?

Out the numbers 748, 784, 224, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.