GCD of 940, 650, 210, 714 Calculator

Given Input numbers are 940, 650, 210, 714

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (940, 650, 210, 714) = 2.

Given numbers are 940, 650, 210, 714

The list of prime factors of all numbers are

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 940, 650, 210, 714 is 2.

Given numbers are 940, 650, 210, 714

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

Apply this formula for all numbers.

Step1:

LCM(940, 650) = 61100

GCD(940, 650) = ( 940 x 650 ) / 61100

= 940 / 650

= 940

Step2:

LCM(10, 210) = 210

GCD(10, 210) = ( 10 x 210 ) / 210

= 10 / 210

= 10

Step3:

LCM(10, 714) = 3570

GCD(10, 714) = ( 10 x 714 ) / 3570

= 10 / 714

= 10

So, Greatest Common Divisor of 940, 650, 210, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 758, 233, 160
• GCD of 380, 342, 408, 115
• GCD of 455, 376, 338, 444
• GCD of 433, 550, 207, 575
• GCD of 124, 259, 108, 340

Given numbers are 940, 650, 210, 714
The greatest common divisor of numbers 940, 650, 210, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 650, 210, 714 is 2.

1. What is the GCD of 940, 650, 210, 714?

GCD of given numbers 940, 650, 210, 714 is 2

2. How to calculate the greatest common divisor of 940, 650, 210, 714?

We can find the highest common divisor of 940, 650, 210, 714 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 940, 650, 210, 714 i.e 2.

3. How can I use the GCD of 940, 650, 210, 714Calculator?

Out the numbers 940, 650, 210, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.