GCD of 114, 736, 702, 160 Calculator

Given Input numbers are 114, 736, 702, 160

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (114, 736, 702, 160) = 2.

Given numbers are 114, 736, 702, 160

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 114, 736, 702, 160 is 2.

Given numbers are 114, 736, 702, 160

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

Apply this formula for all numbers.

Step1:

LCM(114, 736) = 41952

GCD(114, 736) = ( 114 x 736 ) / 41952

= 114 / 736

= 114

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 114, 736, 702, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 172, 609, 325
• GCD of 237, 890, 868, 602
• GCD of 386, 412, 300, 183
• GCD of 668, 842, 543, 666
• GCD of 805, 548, 463, 826

Given numbers are 114, 736, 702, 160
The greatest common divisor of numbers 114, 736, 702, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 736, 702, 160 is 2.

1. What is the GCD of 114, 736, 702, 160?

GCD of given numbers 114, 736, 702, 160 is 2

2. How to calculate the greatest common divisor of 114, 736, 702, 160?

We can find the highest common divisor of 114, 736, 702, 160 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 114, 736, 702, 160 i.e 2.

3. How can I use the GCD of 114, 736, 702, 160Calculator?

Out the numbers 114, 736, 702, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.