Highest Common Factor of 5523, 3368 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 5523, 3368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5523, 3368 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 5523, 3368 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 5523, 3368 is 1.

HCF(5523, 3368) = 1

HCF of 5523, 3368 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 5523, 3368 is 1.

Highest Common Factor of 5523,3368 using Euclid's algorithm

Highest Common Factor of 5523,3368 is 1

Step 1: Since 5523 > 3368, we apply the division lemma to 5523 and 3368, to get

5523 = 3368 x 1 + 2155

Step 2: Since the reminder 3368 ≠ 0, we apply division lemma to 2155 and 3368, to get

3368 = 2155 x 1 + 1213

Step 3: We consider the new divisor 2155 and the new remainder 1213, and apply the division lemma to get

2155 = 1213 x 1 + 942

We consider the new divisor 1213 and the new remainder 942,and apply the division lemma to get

1213 = 942 x 1 + 271

We consider the new divisor 942 and the new remainder 271,and apply the division lemma to get

942 = 271 x 3 + 129

We consider the new divisor 271 and the new remainder 129,and apply the division lemma to get

271 = 129 x 2 + 13

We consider the new divisor 129 and the new remainder 13,and apply the division lemma to get

129 = 13 x 9 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5523 and 3368 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(129,13) = HCF(271,129) = HCF(942,271) = HCF(1213,942) = HCF(2155,1213) = HCF(3368,2155) = HCF(5523,3368) .

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Frequently Asked Questions on HCF of 5523, 3368 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 5523, 3368?

Answer: HCF of 5523, 3368 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5523, 3368 using Euclid's Algorithm?

Answer: For arbitrary numbers 5523, 3368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.