GCD of 706, 152, 180, 140 Calculator

Given Input numbers are 706, 152, 180, 140

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 152 :

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (706, 152, 180, 140) = 2.

Given numbers are 706, 152, 180, 140

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 706, 152, 180, 140 is 2.

Given numbers are 706, 152, 180, 140

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

Apply this formula for all numbers.

Step1:

LCM(706, 152) = 53656

GCD(706, 152) = ( 706 x 152 ) / 53656

= 706 / 152

= 706

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 706, 152, 180, 140 is 2

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Given numbers are 706, 152, 180, 140
The greatest common divisor of numbers 706, 152, 180, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 152, 180, 140 is 2.

1. What is the GCD of 706, 152, 180, 140?

GCD of given numbers 706, 152, 180, 140 is 2

2. How to calculate the greatest common divisor of 706, 152, 180, 140?

We can find the highest common divisor of 706, 152, 180, 140 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 706, 152, 180, 140 i.e 2.

3. How can I use the GCD of 706, 152, 180, 140Calculator?

Out the numbers 706, 152, 180, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.