Highest Common Factor of 5381, 4668 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 5381, 4668 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5381, 4668 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 5381, 4668 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 5381, 4668 is 1.

HCF(5381, 4668) = 1

HCF of 5381, 4668 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 5381, 4668 is 1.

Highest Common Factor of 5381,4668 using Euclid's algorithm

Highest Common Factor of 5381,4668 is 1

Step 1: Since 5381 > 4668, we apply the division lemma to 5381 and 4668, to get

5381 = 4668 x 1 + 713

Step 2: Since the reminder 4668 ≠ 0, we apply division lemma to 713 and 4668, to get

4668 = 713 x 6 + 390

Step 3: We consider the new divisor 713 and the new remainder 390, and apply the division lemma to get

713 = 390 x 1 + 323

We consider the new divisor 390 and the new remainder 323,and apply the division lemma to get

390 = 323 x 1 + 67

We consider the new divisor 323 and the new remainder 67,and apply the division lemma to get

323 = 67 x 4 + 55

We consider the new divisor 67 and the new remainder 55,and apply the division lemma to get

67 = 55 x 1 + 12

We consider the new divisor 55 and the new remainder 12,and apply the division lemma to get

55 = 12 x 4 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5381 and 4668 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(55,12) = HCF(67,55) = HCF(323,67) = HCF(390,323) = HCF(713,390) = HCF(4668,713) = HCF(5381,4668) .

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Frequently Asked Questions on HCF of 5381, 4668 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 5381, 4668?

Answer: HCF of 5381, 4668 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5381, 4668 using Euclid's Algorithm?

Answer: For arbitrary numbers 5381, 4668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.