Highest Common Factor of 4656, 1799, 54799 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 4656, 1799, 54799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4656, 1799, 54799 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 4656, 1799, 54799 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 4656, 1799, 54799 is 1.

HCF(4656, 1799, 54799) = 1

HCF of 4656, 1799, 54799 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 4656, 1799, 54799 is 1.

Highest Common Factor of 4656,1799,54799 using Euclid's algorithm

Highest Common Factor of 4656,1799,54799 is 1

Step 1: Since 4656 > 1799, we apply the division lemma to 4656 and 1799, to get

4656 = 1799 x 2 + 1058

Step 2: Since the reminder 1799 ≠ 0, we apply division lemma to 1058 and 1799, to get

1799 = 1058 x 1 + 741

Step 3: We consider the new divisor 1058 and the new remainder 741, and apply the division lemma to get

1058 = 741 x 1 + 317

We consider the new divisor 741 and the new remainder 317,and apply the division lemma to get

741 = 317 x 2 + 107

We consider the new divisor 317 and the new remainder 107,and apply the division lemma to get

317 = 107 x 2 + 103

We consider the new divisor 107 and the new remainder 103,and apply the division lemma to get

107 = 103 x 1 + 4

We consider the new divisor 103 and the new remainder 4,and apply the division lemma to get

103 = 4 x 25 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4656 and 1799 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(103,4) = HCF(107,103) = HCF(317,107) = HCF(741,317) = HCF(1058,741) = HCF(1799,1058) = HCF(4656,1799) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 54799 > 1, we apply the division lemma to 54799 and 1, to get

54799 = 1 x 54799 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54799 is 1

Notice that 1 = HCF(54799,1) .

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Frequently Asked Questions on HCF of 4656, 1799, 54799 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 4656, 1799, 54799?

Answer: HCF of 4656, 1799, 54799 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4656, 1799, 54799 using Euclid's Algorithm?

Answer: For arbitrary numbers 4656, 1799, 54799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.