GCD of 700, 780, 188, 316 Calculator

Given Input numbers are 700, 780, 188, 316

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (700, 780, 188, 316) = 4.

Given numbers are 700, 780, 188, 316

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 188 are 2 x 2 x 47

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2²

Therefore, GCD of 700, 780, 188, 316 is 4.

Given numbers are 700, 780, 188, 316

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

Apply this formula for all numbers.

Step1:

LCM(700, 780) = 27300

GCD(700, 780) = ( 700 x 780 ) / 27300

= 700 / 780

= 700

Step2:

LCM(20, 188) = 940

GCD(20, 188) = ( 20 x 188 ) / 940

= 20 / 188

= 20

Step3:

LCM(4, 316) = 316

GCD(4, 316) = ( 4 x 316 ) / 316

= 4 / 316

= 4

So, Greatest Common Divisor of 700, 780, 188, 316 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 763, 953, 839
• GCD of 444, 533, 969, 381
• GCD of 148, 331, 140, 250
• GCD of 686, 613, 112, 465
• GCD of 368, 230, 438, 424

Given numbers are 700, 780, 188, 316
The greatest common divisor of numbers 700, 780, 188, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 780, 188, 316 is 4.

1. What is the GCD of 700, 780, 188, 316?

GCD of given numbers 700, 780, 188, 316 is 4

2. How to calculate the greatest common divisor of 700, 780, 188, 316?

We can find the highest common divisor of 700, 780, 188, 316 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, 780, 188, 316 i.e 4.

3. How can I use the GCD of 700, 780, 188, 316Calculator?

Out the numbers 700, 780, 188, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.