Highest Common Factor of 3059, 5331, 88128 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 3059, 5331, 88128 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3059, 5331, 88128 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 3059, 5331, 88128 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 3059, 5331, 88128 is 1.

HCF(3059, 5331, 88128) = 1

HCF of 3059, 5331, 88128 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 3059, 5331, 88128 is 1.

Highest Common Factor of 3059,5331,88128 using Euclid's algorithm

Highest Common Factor of 3059,5331,88128 is 1

Step 1: Since 5331 > 3059, we apply the division lemma to 5331 and 3059, to get

5331 = 3059 x 1 + 2272

Step 2: Since the reminder 3059 ≠ 0, we apply division lemma to 2272 and 3059, to get

3059 = 2272 x 1 + 787

Step 3: We consider the new divisor 2272 and the new remainder 787, and apply the division lemma to get

2272 = 787 x 2 + 698

We consider the new divisor 787 and the new remainder 698,and apply the division lemma to get

787 = 698 x 1 + 89

We consider the new divisor 698 and the new remainder 89,and apply the division lemma to get

698 = 89 x 7 + 75

We consider the new divisor 89 and the new remainder 75,and apply the division lemma to get

89 = 75 x 1 + 14

We consider the new divisor 75 and the new remainder 14,and apply the division lemma to get

75 = 14 x 5 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 3059 and 5331 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(75,14) = HCF(89,75) = HCF(698,89) = HCF(787,698) = HCF(2272,787) = HCF(3059,2272) = HCF(5331,3059) .

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

Step 1: Since 88128 > 1, we apply the division lemma to 88128 and 1, to get

88128 = 1 x 88128 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88128 is 1

Notice that 1 = HCF(88128,1) .

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Frequently Asked Questions on HCF of 3059, 5331, 88128 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 3059, 5331, 88128?

Answer: HCF of 3059, 5331, 88128 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3059, 5331, 88128 using Euclid's Algorithm?

Answer: For arbitrary numbers 3059, 5331, 88128 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.