Highest Common Factor of 6091, 4959, 81553 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 6091, 4959, 81553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6091, 4959, 81553 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 6091, 4959, 81553 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 6091, 4959, 81553 is 1.

HCF(6091, 4959, 81553) = 1

HCF of 6091, 4959, 81553 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 6091, 4959, 81553 is 1.

Highest Common Factor of 6091,4959,81553 using Euclid's algorithm

Highest Common Factor of 6091,4959,81553 is 1

Step 1: Since 6091 > 4959, we apply the division lemma to 6091 and 4959, to get

6091 = 4959 x 1 + 1132

Step 2: Since the reminder 4959 ≠ 0, we apply division lemma to 1132 and 4959, to get

4959 = 1132 x 4 + 431

Step 3: We consider the new divisor 1132 and the new remainder 431, and apply the division lemma to get

1132 = 431 x 2 + 270

We consider the new divisor 431 and the new remainder 270,and apply the division lemma to get

431 = 270 x 1 + 161

We consider the new divisor 270 and the new remainder 161,and apply the division lemma to get

270 = 161 x 1 + 109

We consider the new divisor 161 and the new remainder 109,and apply the division lemma to get

161 = 109 x 1 + 52

We consider the new divisor 109 and the new remainder 52,and apply the division lemma to get

109 = 52 x 2 + 5

We consider the new divisor 52 and the new remainder 5,and apply the division lemma to get

52 = 5 x 10 + 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 6091 and 4959 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(52,5) = HCF(109,52) = HCF(161,109) = HCF(270,161) = HCF(431,270) = HCF(1132,431) = HCF(4959,1132) = HCF(6091,4959) .

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

Step 1: Since 81553 > 1, we apply the division lemma to 81553 and 1, to get

81553 = 1 x 81553 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81553 is 1

Notice that 1 = HCF(81553,1) .

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Frequently Asked Questions on HCF of 6091, 4959, 81553 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 6091, 4959, 81553?

Answer: HCF of 6091, 4959, 81553 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6091, 4959, 81553 using Euclid's Algorithm?

Answer: For arbitrary numbers 6091, 4959, 81553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.