GCD of 690, 714, 38, 980 Calculator

Given Input numbers are 690, 714, 38, 980

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

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

GCD of numbers is the greatest common divisor

So, the GCD (690, 714, 38, 980) = 2.

Given numbers are 690, 714, 38, 980

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

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

Prime factors of 38 are 2 x 19

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 690, 714, 38, 980 is 2.

Given numbers are 690, 714, 38, 980

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

Apply this formula for all numbers.

Step1:

LCM(690, 714) = 82110

GCD(690, 714) = ( 690 x 714 ) / 82110

= 690 / 714

= 690

Step2:

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

= 6 / 38

= 6

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 690, 714, 38, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 311, 46, 498
• GCD of 417, 904, 47, 929
• GCD of 746, 421, 33, 863
• GCD of 566, 914, 16, 546
• GCD of 470, 129, 43, 267

Given numbers are 690, 714, 38, 980
The greatest common divisor of numbers 690, 714, 38, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 714, 38, 980 is 2.

1. What is the GCD of 690, 714, 38, 980?

GCD of given numbers 690, 714, 38, 980 is 2

2. How to calculate the greatest common divisor of 690, 714, 38, 980?

We can find the highest common divisor of 690, 714, 38, 980 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 690, 714, 38, 980 i.e 2.

3. How can I use the GCD of 690, 714, 38, 980Calculator?

Out the numbers 690, 714, 38, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.