GCD of 274, 769, 49 Calculator

Given Input numbers are 274, 769, 49

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

GCD of numbers is the greatest common divisor

So, the GCD (274, 769, 49) = 1.

Given numbers are 274, 769, 49

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 769 are 769

Prime factors of 49 are 7 x 7

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

Given numbers are 274, 769, 49

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

Apply this formula for all numbers.

Step1:

LCM(274, 769) = 210706

GCD(274, 769) = ( 274 x 769 ) / 210706

= 274 / 769

= 274

Step2:

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

= 1 / 49

= 1

So, Greatest Common Divisor of 274, 769, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 569, 55
• GCD of 988, 850, 87
• GCD of 734, 294, 99
• GCD of 837, 911, 12
• GCD of 624, 282, 11

Given numbers are 274, 769, 49
The greatest common divisor of numbers 274, 769, 49 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 769, 49 is 1.

1. What is the GCD of 274, 769, 49?

GCD of given numbers 274, 769, 49 is 1

2. How to calculate the greatest common divisor of 274, 769, 49?

We can find the highest common divisor of 274, 769, 49 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 274, 769, 49 i.e 1.

3. How can I use the GCD of 274, 769, 49Calculator?

Out the numbers 274, 769, 49 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.