GCD of 700, 360, 292, 372 Calculator

Given Input numbers are 700, 360, 292, 372

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 292 :

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

1, 2, 4, 73, 146, 292

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (700, 360, 292, 372) = 4.

Given numbers are 700, 360, 292, 372

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 292 are 2 x 2 x 73

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2²

Therefore, GCD of 700, 360, 292, 372 is 4.

Given numbers are 700, 360, 292, 372

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

Apply this formula for all numbers.

Step1:

LCM(700, 360) = 12600

GCD(700, 360) = ( 700 x 360 ) / 12600

= 700 / 360

= 700

Step2:

LCM(20, 292) = 1460

GCD(20, 292) = ( 20 x 292 ) / 1460

= 20 / 292

= 20

Step3:

LCM(4, 372) = 372

GCD(4, 372) = ( 4 x 372 ) / 372

= 4 / 372

= 4

So, Greatest Common Divisor of 700, 360, 292, 372 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 504, 460, 308
• GCD of 633, 710, 828, 308
• GCD of 899, 412, 140, 806
• GCD of 619, 571, 755, 299
• GCD of 202, 824, 267, 592

Given numbers are 700, 360, 292, 372
The greatest common divisor of numbers 700, 360, 292, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 360, 292, 372 is 4.

1. What is the GCD of 700, 360, 292, 372?

GCD of given numbers 700, 360, 292, 372 is 4

2. How to calculate the greatest common divisor of 700, 360, 292, 372?

We can find the highest common divisor of 700, 360, 292, 372 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, 360, 292, 372 i.e 4.

3. How can I use the GCD of 700, 360, 292, 372Calculator?

Out the numbers 700, 360, 292, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.