GCD of 790, 292, 970, 100 Calculator

Given Input numbers are 790, 292, 970, 100

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (790, 292, 970, 100) = 2.

Given numbers are 790, 292, 970, 100

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 292 are 2 x 2 x 73

Prime factors of 970 are 2 x 5 x 97

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 790, 292, 970, 100 is 2.

Given numbers are 790, 292, 970, 100

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

Apply this formula for all numbers.

Step1:

LCM(790, 292) = 115340

GCD(790, 292) = ( 790 x 292 ) / 115340

= 790 / 292

= 790

Step2:

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

= 2 / 970

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 790, 292, 970, 100 is 2

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Given numbers are 790, 292, 970, 100
The greatest common divisor of numbers 790, 292, 970, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 292, 970, 100 is 2.

1. What is the GCD of 790, 292, 970, 100?

GCD of given numbers 790, 292, 970, 100 is 2

2. How to calculate the greatest common divisor of 790, 292, 970, 100?

We can find the highest common divisor of 790, 292, 970, 100 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 790, 292, 970, 100 i.e 2.

3. How can I use the GCD of 790, 292, 970, 100Calculator?

Out the numbers 790, 292, 970, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.