Highest Common Factor of 5506, 3379 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 5506, 3379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5506, 3379 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 5506, 3379 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 5506, 3379 is 1.

HCF(5506, 3379) = 1

HCF of 5506, 3379 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 5506, 3379 is 1.

Highest Common Factor of 5506,3379 using Euclid's algorithm

Highest Common Factor of 5506,3379 is 1

Step 1: Since 5506 > 3379, we apply the division lemma to 5506 and 3379, to get

5506 = 3379 x 1 + 2127

Step 2: Since the reminder 3379 ≠ 0, we apply division lemma to 2127 and 3379, to get

3379 = 2127 x 1 + 1252

Step 3: We consider the new divisor 2127 and the new remainder 1252, and apply the division lemma to get

2127 = 1252 x 1 + 875

We consider the new divisor 1252 and the new remainder 875,and apply the division lemma to get

1252 = 875 x 1 + 377

We consider the new divisor 875 and the new remainder 377,and apply the division lemma to get

875 = 377 x 2 + 121

We consider the new divisor 377 and the new remainder 121,and apply the division lemma to get

377 = 121 x 3 + 14

We consider the new divisor 121 and the new remainder 14,and apply the division lemma to get

121 = 14 x 8 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5506 and 3379 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(121,14) = HCF(377,121) = HCF(875,377) = HCF(1252,875) = HCF(2127,1252) = HCF(3379,2127) = HCF(5506,3379) .

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Frequently Asked Questions on HCF of 5506, 3379 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 5506, 3379?

Answer: HCF of 5506, 3379 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5506, 3379 using Euclid's Algorithm?

Answer: For arbitrary numbers 5506, 3379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.