GCD of 140, 746, 998, 114 Calculator

Given Input numbers are 140, 746, 998, 114

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (140, 746, 998, 114) = 2.

Given numbers are 140, 746, 998, 114

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 746 are 2 x 373

Prime factors of 998 are 2 x 499

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 140, 746, 998, 114 is 2.

Given numbers are 140, 746, 998, 114

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

Apply this formula for all numbers.

Step1:

LCM(140, 746) = 52220

GCD(140, 746) = ( 140 x 746 ) / 52220

= 140 / 746

= 140

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

Step3:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

So, Greatest Common Divisor of 140, 746, 998, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 700, 581, 795
• GCD of 513, 710, 809, 736
• GCD of 946, 377, 521, 754
• GCD of 122, 747, 957, 588
• GCD of 202, 794, 362, 331

Given numbers are 140, 746, 998, 114
The greatest common divisor of numbers 140, 746, 998, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 746, 998, 114 is 2.

1. What is the GCD of 140, 746, 998, 114?

GCD of given numbers 140, 746, 998, 114 is 2

2. How to calculate the greatest common divisor of 140, 746, 998, 114?

We can find the highest common divisor of 140, 746, 998, 114 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 140, 746, 998, 114 i.e 2.

3. How can I use the GCD of 140, 746, 998, 114Calculator?

Out the numbers 140, 746, 998, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.