Highest Common Factor of 5153, 3383 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 5153, 3383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5153, 3383 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 5153, 3383 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 5153, 3383 is 1.

HCF(5153, 3383) = 1

HCF of 5153, 3383 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 5153, 3383 is 1.

Highest Common Factor of 5153,3383 using Euclid's algorithm

Highest Common Factor of 5153,3383 is 1

Step 1: Since 5153 > 3383, we apply the division lemma to 5153 and 3383, to get

5153 = 3383 x 1 + 1770

Step 2: Since the reminder 3383 ≠ 0, we apply division lemma to 1770 and 3383, to get

3383 = 1770 x 1 + 1613

Step 3: We consider the new divisor 1770 and the new remainder 1613, and apply the division lemma to get

1770 = 1613 x 1 + 157

We consider the new divisor 1613 and the new remainder 157,and apply the division lemma to get

1613 = 157 x 10 + 43

We consider the new divisor 157 and the new remainder 43,and apply the division lemma to get

157 = 43 x 3 + 28

We consider the new divisor 43 and the new remainder 28,and apply the division lemma to get

43 = 28 x 1 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 5153 and 3383 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(43,28) = HCF(157,43) = HCF(1613,157) = HCF(1770,1613) = HCF(3383,1770) = HCF(5153,3383) .

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Frequently Asked Questions on HCF of 5153, 3383 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 5153, 3383?

Answer: HCF of 5153, 3383 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5153, 3383 using Euclid's Algorithm?

Answer: For arbitrary numbers 5153, 3383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.