GCD of 152, 532, 560, 148 Calculator

Given Input numbers are 152, 532, 560, 148

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

Divisors of 152 :

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

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 (152, 532, 560, 148) = 4.

Given numbers are 152, 532, 560, 148

The list of prime factors of all numbers are

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

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 152, 532, 560, 148 is 4.

Given numbers are 152, 532, 560, 148

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

Apply this formula for all numbers.

Step1:

LCM(152, 532) = 1064

GCD(152, 532) = ( 152 x 532 ) / 1064

= 152 / 532

= 152

Step2:

LCM(76, 560) = 10640

GCD(76, 560) = ( 76 x 560 ) / 10640

= 76 / 560

= 76

Step3:

LCM(4, 148) = 148

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

= 4 / 148

= 4

So, Greatest Common Divisor of 152, 532, 560, 148 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 109, 285, 659
• GCD of 530, 418, 881, 748
• GCD of 355, 213, 359, 576
• GCD of 614, 568, 109, 362
• GCD of 710, 217, 514, 873

Given numbers are 152, 532, 560, 148
The greatest common divisor of numbers 152, 532, 560, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 532, 560, 148 is 4.

1. What is the GCD of 152, 532, 560, 148?

GCD of given numbers 152, 532, 560, 148 is 4

2. How to calculate the greatest common divisor of 152, 532, 560, 148?

We can find the highest common divisor of 152, 532, 560, 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 152, 532, 560, 148 i.e 4.

3. How can I use the GCD of 152, 532, 560, 148Calculator?

Out the numbers 152, 532, 560, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.