GCD of 700, 634, 580, 292 Calculator

Given Input numbers are 700, 634, 580, 292

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 292 :

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

1, 2, 4, 73, 146, 292

GCD of numbers is the greatest common divisor

So, the GCD (700, 634, 580, 292) = 2.

Given numbers are 700, 634, 580, 292

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 634 are 2 x 317

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 292 are 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 700, 634, 580, 292 is 2.

Given numbers are 700, 634, 580, 292

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

Apply this formula for all numbers.

Step1:

LCM(700, 634) = 221900

GCD(700, 634) = ( 700 x 634 ) / 221900

= 700 / 634

= 700

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

= 2 / 292

= 2

So, Greatest Common Divisor of 700, 634, 580, 292 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 855, 658, 360
• GCD of 336, 707, 924, 297
• GCD of 816, 163, 397, 118
• GCD of 321, 461, 504, 357
• GCD of 823, 422, 189, 131

Given numbers are 700, 634, 580, 292
The greatest common divisor of numbers 700, 634, 580, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 634, 580, 292 is 2.

1. What is the GCD of 700, 634, 580, 292?

GCD of given numbers 700, 634, 580, 292 is 2

2. How to calculate the greatest common divisor of 700, 634, 580, 292?

We can find the highest common divisor of 700, 634, 580, 292 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 700, 634, 580, 292 i.e 2.

3. How can I use the GCD of 700, 634, 580, 292Calculator?

Out the numbers 700, 634, 580, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.