GCD of 100, 145, 362, 702 Calculator

Given Input numbers are 100, 145, 362, 702

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 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (100, 145, 362, 702) = 1.

Given numbers are 100, 145, 362, 702

The list of prime factors of all numbers are

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

Prime factors of 145 are 5 x 29

Prime factors of 362 are 2 x 181

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 100, 145, 362, 702

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

Apply this formula for all numbers.

Step1:

LCM(100, 145) = 2900

GCD(100, 145) = ( 100 x 145 ) / 2900

= 100 / 145

= 100

Step2:

LCM(5, 362) = 1810

GCD(5, 362) = ( 5 x 362 ) / 1810

= 5 / 362

= 5

Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1

So, Greatest Common Divisor of 100, 145, 362, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 125, 241, 908
• GCD of 805, 888, 383, 683
• GCD of 649, 179, 478, 546
• GCD of 494, 597, 776, 666
• GCD of 713, 517, 112, 224

Given numbers are 100, 145, 362, 702
The greatest common divisor of numbers 100, 145, 362, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 145, 362, 702 is 1.

1. What is the GCD of 100, 145, 362, 702?

GCD of given numbers 100, 145, 362, 702 is 1

2. How to calculate the greatest common divisor of 100, 145, 362, 702?

We can find the highest common divisor of 100, 145, 362, 702 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, 145, 362, 702 i.e 1.

3. How can I use the GCD of 100, 145, 362, 702Calculator?

Out the numbers 100, 145, 362, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.