Highest Common Factor of 5204, 7033 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 5204, 7033 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5204, 7033 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 5204, 7033 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 5204, 7033 is 1.

HCF(5204, 7033) = 1

HCF of 5204, 7033 using Euclid's algorithm

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

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Highest common factor (HCF) of 5204, 7033 is 1.

Highest Common Factor of 5204,7033 using Euclid's algorithm

Highest Common Factor of 5204,7033 is 1

Step 1: Since 7033 > 5204, we apply the division lemma to 7033 and 5204, to get

7033 = 5204 x 1 + 1829

Step 2: Since the reminder 5204 ≠ 0, we apply division lemma to 1829 and 5204, to get

5204 = 1829 x 2 + 1546

Step 3: We consider the new divisor 1829 and the new remainder 1546, and apply the division lemma to get

1829 = 1546 x 1 + 283

We consider the new divisor 1546 and the new remainder 283,and apply the division lemma to get

1546 = 283 x 5 + 131

We consider the new divisor 283 and the new remainder 131,and apply the division lemma to get

283 = 131 x 2 + 21

We consider the new divisor 131 and the new remainder 21,and apply the division lemma to get

131 = 21 x 6 + 5

We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5204 and 7033 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(131,21) = HCF(283,131) = HCF(1546,283) = HCF(1829,1546) = HCF(5204,1829) = HCF(7033,5204) .

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Frequently Asked Questions on HCF of 5204, 7033 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 5204, 7033?

Answer: HCF of 5204, 7033 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5204, 7033 using Euclid's Algorithm?

Answer: For arbitrary numbers 5204, 7033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.