GCD of 100, 970, 705, 540 Calculator

Given Input numbers are 100, 970, 705, 540

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (100, 970, 705, 540) = 5.

Given numbers are 100, 970, 705, 540

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 970 are 2 x 5 x 97

Prime factors of 705 are 3 x 5 x 47

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 100, 970, 705, 540 is 5.

Given numbers are 100, 970, 705, 540

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

Apply this formula for all numbers.

Step1:

LCM(100, 970) = 9700

GCD(100, 970) = ( 100 x 970 ) / 9700

= 100 / 970

= 100

Step2:

LCM(10, 705) = 1410

GCD(10, 705) = ( 10 x 705 ) / 1410

= 10 / 705

= 10

Step3:

LCM(5, 540) = 540

GCD(5, 540) = ( 5 x 540 ) / 540

= 5 / 540

= 5

So, Greatest Common Divisor of 100, 970, 705, 540 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 704, 603, 149
• GCD of 253, 256, 483, 483
• GCD of 501, 787, 232, 490
• GCD of 434, 295, 196, 913
• GCD of 352, 208, 552, 367

Given numbers are 100, 970, 705, 540
The greatest common divisor of numbers 100, 970, 705, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 970, 705, 540 is 5.

1. What is the GCD of 100, 970, 705, 540?

GCD of given numbers 100, 970, 705, 540 is 5

2. How to calculate the greatest common divisor of 100, 970, 705, 540?

We can find the highest common divisor of 100, 970, 705, 540 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 100, 970, 705, 540 i.e 5.

3. How can I use the GCD of 100, 970, 705, 540Calculator?

Out the numbers 100, 970, 705, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.