GCD of 825, 690, 105, 140 Calculator

Given Input numbers are 825, 690, 105, 140

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 105 :

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

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (825, 690, 105, 140) = 5.

Given numbers are 825, 690, 105, 140

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 825, 690, 105, 140 is 5.

Given numbers are 825, 690, 105, 140

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

Apply this formula for all numbers.

Step1:

LCM(825, 690) = 37950

GCD(825, 690) = ( 825 x 690 ) / 37950

= 825 / 690

= 825

Step2:

LCM(15, 105) = 105

GCD(15, 105) = ( 15 x 105 ) / 105

= 15 / 105

= 15

Step3:

LCM(15, 140) = 420

GCD(15, 140) = ( 15 x 140 ) / 420

= 15 / 140

= 15

So, Greatest Common Divisor of 825, 690, 105, 140 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 792, 466, 127
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• GCD of 366, 921, 768, 358

Given numbers are 825, 690, 105, 140
The greatest common divisor of numbers 825, 690, 105, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 690, 105, 140 is 5.

1. What is the GCD of 825, 690, 105, 140?

GCD of given numbers 825, 690, 105, 140 is 5

2. How to calculate the greatest common divisor of 825, 690, 105, 140?

We can find the highest common divisor of 825, 690, 105, 140 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 825, 690, 105, 140 i.e 5.

3. How can I use the GCD of 825, 690, 105, 140Calculator?

Out the numbers 825, 690, 105, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.