GCD of 700, 980, 444, 314 Calculator

Given Input numbers are 700, 980, 444, 314

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (700, 980, 444, 314) = 2.

Given numbers are 700, 980, 444, 314

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 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 700, 980, 444, 314 is 2.

Given numbers are 700, 980, 444, 314

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

Apply this formula for all numbers.

Step1:

LCM(700, 980) = 4900

GCD(700, 980) = ( 700 x 980 ) / 4900

= 700 / 980

= 700

Step2:

LCM(140, 444) = 15540

GCD(140, 444) = ( 140 x 444 ) / 15540

= 140 / 444

= 140

Step3:

LCM(4, 314) = 628

GCD(4, 314) = ( 4 x 314 ) / 628

= 4 / 314

= 4

So, Greatest Common Divisor of 700, 980, 444, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 841, 114, 674
• GCD of 689, 538, 731, 513
• GCD of 815, 925, 731, 570
• GCD of 537, 716, 613, 989
• GCD of 736, 167, 913, 839

Given numbers are 700, 980, 444, 314
The greatest common divisor of numbers 700, 980, 444, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 980, 444, 314 is 2.

1. What is the GCD of 700, 980, 444, 314?

GCD of given numbers 700, 980, 444, 314 is 2

2. How to calculate the greatest common divisor of 700, 980, 444, 314?

We can find the highest common divisor of 700, 980, 444, 314 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, 980, 444, 314 i.e 2.

3. How can I use the GCD of 700, 980, 444, 314Calculator?

Out the numbers 700, 980, 444, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.