GCD of 138, 674, 841, 971 Calculator

Given Input numbers are 138, 674, 841, 971

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 674 :

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

1, 2, 337, 674

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (138, 674, 841, 971) = 1.

Given numbers are 138, 674, 841, 971

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 674 are 2 x 337

Prime factors of 841 are 29 x 29

Prime factors of 971 are 971

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

Given numbers are 138, 674, 841, 971

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

Apply this formula for all numbers.

Step1:

LCM(138, 674) = 46506

GCD(138, 674) = ( 138 x 674 ) / 46506

= 138 / 674

= 138

Step2:

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

= 2 / 841

= 2

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 138, 674, 841, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 775, 942, 384
• GCD of 867, 906, 357, 218
• GCD of 684, 315, 387, 922
• GCD of 383, 262, 666, 771
• GCD of 404, 121, 941, 776

Given numbers are 138, 674, 841, 971
The greatest common divisor of numbers 138, 674, 841, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 674, 841, 971 is 1.

1. What is the GCD of 138, 674, 841, 971?

GCD of given numbers 138, 674, 841, 971 is 1

2. How to calculate the greatest common divisor of 138, 674, 841, 971?

We can find the highest common divisor of 138, 674, 841, 971 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 138, 674, 841, 971 i.e 1.

3. How can I use the GCD of 138, 674, 841, 971Calculator?

Out the numbers 138, 674, 841, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.