GCD of 909, 702, 748, 142 Calculator

Given Input numbers are 909, 702, 748, 142

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (909, 702, 748, 142) = 1.

Given numbers are 909, 702, 748, 142

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

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

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 142 are 2 x 71

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

Given numbers are 909, 702, 748, 142

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

Apply this formula for all numbers.

Step1:

LCM(909, 702) = 70902

GCD(909, 702) = ( 909 x 702 ) / 70902

= 909 / 702

= 909

Step2:

LCM(9, 748) = 6732

GCD(9, 748) = ( 9 x 748 ) / 6732

= 9 / 748

= 9

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 909, 702, 748, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 278, 575, 592
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Given numbers are 909, 702, 748, 142
The greatest common divisor of numbers 909, 702, 748, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 702, 748, 142 is 1.

1. What is the GCD of 909, 702, 748, 142?

GCD of given numbers 909, 702, 748, 142 is 1

2. How to calculate the greatest common divisor of 909, 702, 748, 142?

We can find the highest common divisor of 909, 702, 748, 142 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 909, 702, 748, 142 i.e 1.

3. How can I use the GCD of 909, 702, 748, 142Calculator?

Out the numbers 909, 702, 748, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.