Highest Common Factor of 3338, 5549 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 3338, 5549 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3338, 5549 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 3338, 5549 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 3338, 5549 is 1.

HCF(3338, 5549) = 1

HCF of 3338, 5549 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 3338, 5549 is 1.

Highest Common Factor of 3338,5549 using Euclid's algorithm

Highest Common Factor of 3338,5549 is 1

Step 1: Since 5549 > 3338, we apply the division lemma to 5549 and 3338, to get

5549 = 3338 x 1 + 2211

Step 2: Since the reminder 3338 ≠ 0, we apply division lemma to 2211 and 3338, to get

3338 = 2211 x 1 + 1127

Step 3: We consider the new divisor 2211 and the new remainder 1127, and apply the division lemma to get

2211 = 1127 x 1 + 1084

We consider the new divisor 1127 and the new remainder 1084,and apply the division lemma to get

1127 = 1084 x 1 + 43

We consider the new divisor 1084 and the new remainder 43,and apply the division lemma to get

1084 = 43 x 25 + 9

We consider the new divisor 43 and the new remainder 9,and apply the division lemma to get

43 = 9 x 4 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3338 and 5549 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(43,9) = HCF(1084,43) = HCF(1127,1084) = HCF(2211,1127) = HCF(3338,2211) = HCF(5549,3338) .

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Frequently Asked Questions on HCF of 3338, 5549 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 3338, 5549?

Answer: HCF of 3338, 5549 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3338, 5549 using Euclid's Algorithm?

Answer: For arbitrary numbers 3338, 5549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.