Highest Common Factor of 3589, 5656, 48529 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 3589, 5656, 48529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3589, 5656, 48529 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 3589, 5656, 48529 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 3589, 5656, 48529 is 1.

HCF(3589, 5656, 48529) = 1

HCF of 3589, 5656, 48529 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 3589, 5656, 48529 is 1.

Highest Common Factor of 3589,5656,48529 using Euclid's algorithm

Highest Common Factor of 3589,5656,48529 is 1

Step 1: Since 5656 > 3589, we apply the division lemma to 5656 and 3589, to get

5656 = 3589 x 1 + 2067

Step 2: Since the reminder 3589 ≠ 0, we apply division lemma to 2067 and 3589, to get

3589 = 2067 x 1 + 1522

Step 3: We consider the new divisor 2067 and the new remainder 1522, and apply the division lemma to get

2067 = 1522 x 1 + 545

We consider the new divisor 1522 and the new remainder 545,and apply the division lemma to get

1522 = 545 x 2 + 432

We consider the new divisor 545 and the new remainder 432,and apply the division lemma to get

545 = 432 x 1 + 113

We consider the new divisor 432 and the new remainder 113,and apply the division lemma to get

432 = 113 x 3 + 93

We consider the new divisor 113 and the new remainder 93,and apply the division lemma to get

113 = 93 x 1 + 20

We consider the new divisor 93 and the new remainder 20,and apply the division lemma to get

93 = 20 x 4 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3589 and 5656 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(93,20) = HCF(113,93) = HCF(432,113) = HCF(545,432) = HCF(1522,545) = HCF(2067,1522) = HCF(3589,2067) = HCF(5656,3589) .

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

Step 1: Since 48529 > 1, we apply the division lemma to 48529 and 1, to get

48529 = 1 x 48529 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48529 is 1

Notice that 1 = HCF(48529,1) .

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Frequently Asked Questions on HCF of 3589, 5656, 48529 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 3589, 5656, 48529?

Answer: HCF of 3589, 5656, 48529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3589, 5656, 48529 using Euclid's Algorithm?

Answer: For arbitrary numbers 3589, 5656, 48529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.