GCD of 109, 749, 693, 154 Calculator

Given Input numbers are 109, 749, 693, 154

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (109, 749, 693, 154) = 1.

Given numbers are 109, 749, 693, 154

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 749 are 7 x 107

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 154 are 2 x 7 x 11

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

Given numbers are 109, 749, 693, 154

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

Apply this formula for all numbers.

Step1:

LCM(109, 749) = 81641

GCD(109, 749) = ( 109 x 749 ) / 81641

= 109 / 749

= 109

Step2:

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

= 1 / 693

= 1

Step3:

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

= 1 / 154

= 1

So, Greatest Common Divisor of 109, 749, 693, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 332, 352, 643
• GCD of 490, 763, 969, 434
• GCD of 937, 237, 327, 466
• GCD of 857, 739, 781, 756
• GCD of 955, 759, 127, 639

Given numbers are 109, 749, 693, 154
The greatest common divisor of numbers 109, 749, 693, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 749, 693, 154 is 1.

1. What is the GCD of 109, 749, 693, 154?

GCD of given numbers 109, 749, 693, 154 is 1

2. How to calculate the greatest common divisor of 109, 749, 693, 154?

We can find the highest common divisor of 109, 749, 693, 154 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 109, 749, 693, 154 i.e 1.

3. How can I use the GCD of 109, 749, 693, 154Calculator?

Out the numbers 109, 749, 693, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.