Highest Common Factor of 5896, 4801, 29865 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 5896, 4801, 29865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5896, 4801, 29865 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 5896, 4801, 29865 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 5896, 4801, 29865 is 1.

HCF(5896, 4801, 29865) = 1

HCF of 5896, 4801, 29865 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 5896, 4801, 29865 is 1.

Highest Common Factor of 5896,4801,29865 using Euclid's algorithm

Highest Common Factor of 5896,4801,29865 is 1

Step 1: Since 5896 > 4801, we apply the division lemma to 5896 and 4801, to get

5896 = 4801 x 1 + 1095

Step 2: Since the reminder 4801 ≠ 0, we apply division lemma to 1095 and 4801, to get

4801 = 1095 x 4 + 421

Step 3: We consider the new divisor 1095 and the new remainder 421, and apply the division lemma to get

1095 = 421 x 2 + 253

We consider the new divisor 421 and the new remainder 253,and apply the division lemma to get

421 = 253 x 1 + 168

We consider the new divisor 253 and the new remainder 168,and apply the division lemma to get

253 = 168 x 1 + 85

We consider the new divisor 168 and the new remainder 85,and apply the division lemma to get

168 = 85 x 1 + 83

We consider the new divisor 85 and the new remainder 83,and apply the division lemma to get

85 = 83 x 1 + 2

We consider the new divisor 83 and the new remainder 2,and apply the division lemma to get

83 = 2 x 41 + 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 5896 and 4801 is 1

Notice that 1 = HCF(2,1) = HCF(83,2) = HCF(85,83) = HCF(168,85) = HCF(253,168) = HCF(421,253) = HCF(1095,421) = HCF(4801,1095) = HCF(5896,4801) .

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

Step 1: Since 29865 > 1, we apply the division lemma to 29865 and 1, to get

29865 = 1 x 29865 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29865 is 1

Notice that 1 = HCF(29865,1) .

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Frequently Asked Questions on HCF of 5896, 4801, 29865 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 5896, 4801, 29865?

Answer: HCF of 5896, 4801, 29865 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5896, 4801, 29865 using Euclid's Algorithm?

Answer: For arbitrary numbers 5896, 4801, 29865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.