GCD of 100, 670, 674, 741 Calculator

Given Input numbers are 100, 670, 674, 741

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 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (100, 670, 674, 741) = 1.

Given numbers are 100, 670, 674, 741

The list of prime factors of all numbers are

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

Prime factors of 670 are 2 x 5 x 67

Prime factors of 674 are 2 x 337

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 100, 670, 674, 741

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

Apply this formula for all numbers.

Step1:

LCM(100, 670) = 6700

GCD(100, 670) = ( 100 x 670 ) / 6700

= 100 / 670

= 100

Step2:

LCM(10, 674) = 3370

GCD(10, 674) = ( 10 x 674 ) / 3370

= 10 / 674

= 10

Step3:

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

= 2 / 741

= 2

So, Greatest Common Divisor of 100, 670, 674, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 223, 946, 503
• GCD of 241, 673, 379, 353
• GCD of 356, 290, 546, 934
• GCD of 192, 396, 909, 249
• GCD of 840, 196, 234, 205

Given numbers are 100, 670, 674, 741
The greatest common divisor of numbers 100, 670, 674, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 670, 674, 741 is 1.

1. What is the GCD of 100, 670, 674, 741?

GCD of given numbers 100, 670, 674, 741 is 1

2. How to calculate the greatest common divisor of 100, 670, 674, 741?

We can find the highest common divisor of 100, 670, 674, 741 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, 670, 674, 741 i.e 1.

3. How can I use the GCD of 100, 670, 674, 741Calculator?

Out the numbers 100, 670, 674, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.