Highest Common Factor of 3314, 4033 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 3314, 4033 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3314, 4033 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 3314, 4033 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 3314, 4033 is 1.

HCF(3314, 4033) = 1

HCF of 3314, 4033 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 3314, 4033 is 1.

Highest Common Factor of 3314,4033 using Euclid's algorithm

Highest Common Factor of 3314,4033 is 1

Step 1: Since 4033 > 3314, we apply the division lemma to 4033 and 3314, to get

4033 = 3314 x 1 + 719

Step 2: Since the reminder 3314 ≠ 0, we apply division lemma to 719 and 3314, to get

3314 = 719 x 4 + 438

Step 3: We consider the new divisor 719 and the new remainder 438, and apply the division lemma to get

719 = 438 x 1 + 281

We consider the new divisor 438 and the new remainder 281,and apply the division lemma to get

438 = 281 x 1 + 157

We consider the new divisor 281 and the new remainder 157,and apply the division lemma to get

281 = 157 x 1 + 124

We consider the new divisor 157 and the new remainder 124,and apply the division lemma to get

157 = 124 x 1 + 33

We consider the new divisor 124 and the new remainder 33,and apply the division lemma to get

124 = 33 x 3 + 25

We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get

33 = 25 x 1 + 8

We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get

25 = 8 x 3 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3314 and 4033 is 1

Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(124,33) = HCF(157,124) = HCF(281,157) = HCF(438,281) = HCF(719,438) = HCF(3314,719) = HCF(4033,3314) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3314, 4033 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 3314, 4033?

Answer: HCF of 3314, 4033 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3314, 4033 using Euclid's Algorithm?

Answer: For arbitrary numbers 3314, 4033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.