Highest Common Factor of 5939, 4397 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5939, 4397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5939, 4397 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 5939, 4397 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 5939, 4397 is 1.

HCF(5939, 4397) = 1

HCF of 5939, 4397 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 5939, 4397 is 1.

Highest Common Factor of 5939,4397 using Euclid's algorithm

Highest Common Factor of 5939,4397 is 1

Step 1: Since 5939 > 4397, we apply the division lemma to 5939 and 4397, to get

5939 = 4397 x 1 + 1542

Step 2: Since the reminder 4397 ≠ 0, we apply division lemma to 1542 and 4397, to get

4397 = 1542 x 2 + 1313

Step 3: We consider the new divisor 1542 and the new remainder 1313, and apply the division lemma to get

1542 = 1313 x 1 + 229

We consider the new divisor 1313 and the new remainder 229,and apply the division lemma to get

1313 = 229 x 5 + 168

We consider the new divisor 229 and the new remainder 168,and apply the division lemma to get

229 = 168 x 1 + 61

We consider the new divisor 168 and the new remainder 61,and apply the division lemma to get

168 = 61 x 2 + 46

We consider the new divisor 61 and the new remainder 46,and apply the division lemma to get

61 = 46 x 1 + 15

We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get

46 = 15 x 3 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5939 and 4397 is 1

Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(61,46) = HCF(168,61) = HCF(229,168) = HCF(1313,229) = HCF(1542,1313) = HCF(4397,1542) = HCF(5939,4397) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5939, 4397 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 5939, 4397?

Answer: HCF of 5939, 4397 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5939, 4397 using Euclid's Algorithm?

Answer: For arbitrary numbers 5939, 4397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.