GCD of 675, 105, 980, 530 Calculator

Given Input numbers are 675, 105, 980, 530

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

GCD of numbers is the greatest common divisor

So, the GCD (675, 105, 980, 530) = 5.

Given numbers are 675, 105, 980, 530

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 530 are 2 x 5 x 53

The highest common occurrence is 5¹

Therefore, GCD of 675, 105, 980, 530 is 5.

Given numbers are 675, 105, 980, 530

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

Apply this formula for all numbers.

Step1:

LCM(675, 105) = 4725

GCD(675, 105) = ( 675 x 105 ) / 4725

= 675 / 105

= 675

Step2:

LCM(15, 980) = 2940

GCD(15, 980) = ( 15 x 980 ) / 2940

= 15 / 980

= 15

Step3:

LCM(5, 530) = 530

GCD(5, 530) = ( 5 x 530 ) / 530

= 5 / 530

= 5

So, Greatest Common Divisor of 675, 105, 980, 530 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 949, 407, 615
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Given numbers are 675, 105, 980, 530
The greatest common divisor of numbers 675, 105, 980, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 105, 980, 530 is 5.

1. What is the GCD of 675, 105, 980, 530?

GCD of given numbers 675, 105, 980, 530 is 5

2. How to calculate the greatest common divisor of 675, 105, 980, 530?

We can find the highest common divisor of 675, 105, 980, 530 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 675, 105, 980, 530 i.e 5.

3. How can I use the GCD of 675, 105, 980, 530Calculator?

Out the numbers 675, 105, 980, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.