Highest Common Factor of 8764, 3433 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 8764, 3433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8764, 3433 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 8764, 3433 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 8764, 3433 is 1.

HCF(8764, 3433) = 1

HCF of 8764, 3433 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 8764, 3433 is 1.

Highest Common Factor of 8764,3433 using Euclid's algorithm

Highest Common Factor of 8764,3433 is 1

Step 1: Since 8764 > 3433, we apply the division lemma to 8764 and 3433, to get

8764 = 3433 x 2 + 1898

Step 2: Since the reminder 3433 ≠ 0, we apply division lemma to 1898 and 3433, to get

3433 = 1898 x 1 + 1535

Step 3: We consider the new divisor 1898 and the new remainder 1535, and apply the division lemma to get

1898 = 1535 x 1 + 363

We consider the new divisor 1535 and the new remainder 363,and apply the division lemma to get

1535 = 363 x 4 + 83

We consider the new divisor 363 and the new remainder 83,and apply the division lemma to get

363 = 83 x 4 + 31

We consider the new divisor 83 and the new remainder 31,and apply the division lemma to get

83 = 31 x 2 + 21

We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get

31 = 21 x 1 + 10

We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get

21 = 10 x 2 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8764 and 3433 is 1

Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(83,31) = HCF(363,83) = HCF(1535,363) = HCF(1898,1535) = HCF(3433,1898) = HCF(8764,3433) .

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Frequently Asked Questions on HCF of 8764, 3433 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 8764, 3433?

Answer: HCF of 8764, 3433 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8764, 3433 using Euclid's Algorithm?

Answer: For arbitrary numbers 8764, 3433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.