GCD of 346, 772, 708, 140 Calculator

Given Input numbers are 346, 772, 708, 140

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

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 (346, 772, 708, 140) = 2.

Given numbers are 346, 772, 708, 140

The list of prime factors of all numbers are

Prime factors of 346 are 2 x 173

Prime factors of 772 are 2 x 2 x 193

Prime factors of 708 are 2 x 2 x 3 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 346, 772, 708, 140 is 2.

Given numbers are 346, 772, 708, 140

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

Apply this formula for all numbers.

Step1:

LCM(346, 772) = 133556

GCD(346, 772) = ( 346 x 772 ) / 133556

= 346 / 772

= 346

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 140) = 140

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

= 2 / 140

= 2

So, Greatest Common Divisor of 346, 772, 708, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 744, 208, 907
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• GCD of 732, 830, 460, 935

Given numbers are 346, 772, 708, 140
The greatest common divisor of numbers 346, 772, 708, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 346, 772, 708, 140 is 2.

1. What is the GCD of 346, 772, 708, 140?

GCD of given numbers 346, 772, 708, 140 is 2

2. How to calculate the greatest common divisor of 346, 772, 708, 140?

We can find the highest common divisor of 346, 772, 708, 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 346, 772, 708, 140 i.e 2.

3. How can I use the GCD of 346, 772, 708, 140Calculator?

Out the numbers 346, 772, 708, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.