Highest Common Factor of 5061, 5963, 90831 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 5061, 5963, 90831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5061, 5963, 90831 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 5061, 5963, 90831 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 5061, 5963, 90831 is 1.

HCF(5061, 5963, 90831) = 1

HCF of 5061, 5963, 90831 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 5061, 5963, 90831 is 1.

Highest Common Factor of 5061,5963,90831 using Euclid's algorithm

Highest Common Factor of 5061,5963,90831 is 1

Step 1: Since 5963 > 5061, we apply the division lemma to 5963 and 5061, to get

5963 = 5061 x 1 + 902

Step 2: Since the reminder 5061 ≠ 0, we apply division lemma to 902 and 5061, to get

5061 = 902 x 5 + 551

Step 3: We consider the new divisor 902 and the new remainder 551, and apply the division lemma to get

902 = 551 x 1 + 351

We consider the new divisor 551 and the new remainder 351,and apply the division lemma to get

551 = 351 x 1 + 200

We consider the new divisor 351 and the new remainder 200,and apply the division lemma to get

351 = 200 x 1 + 151

We consider the new divisor 200 and the new remainder 151,and apply the division lemma to get

200 = 151 x 1 + 49

We consider the new divisor 151 and the new remainder 49,and apply the division lemma to get

151 = 49 x 3 + 4

We consider the new divisor 49 and the new remainder 4,and apply the division lemma to get

49 = 4 x 12 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5061 and 5963 is 1

Notice that 1 = HCF(4,1) = HCF(49,4) = HCF(151,49) = HCF(200,151) = HCF(351,200) = HCF(551,351) = HCF(902,551) = HCF(5061,902) = HCF(5963,5061) .

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

Step 1: Since 90831 > 1, we apply the division lemma to 90831 and 1, to get

90831 = 1 x 90831 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90831 is 1

Notice that 1 = HCF(90831,1) .

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Frequently Asked Questions on HCF of 5061, 5963, 90831 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 5061, 5963, 90831?

Answer: HCF of 5061, 5963, 90831 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5061, 5963, 90831 using Euclid's Algorithm?

Answer: For arbitrary numbers 5061, 5963, 90831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.