Highest Common Factor of 5539, 9107 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 5539, 9107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5539, 9107 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 5539, 9107 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 5539, 9107 is 1.

HCF(5539, 9107) = 1

HCF of 5539, 9107 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 5539, 9107 is 1.

Highest Common Factor of 5539,9107 using Euclid's algorithm

Highest Common Factor of 5539,9107 is 1

Step 1: Since 9107 > 5539, we apply the division lemma to 9107 and 5539, to get

9107 = 5539 x 1 + 3568

Step 2: Since the reminder 5539 ≠ 0, we apply division lemma to 3568 and 5539, to get

5539 = 3568 x 1 + 1971

Step 3: We consider the new divisor 3568 and the new remainder 1971, and apply the division lemma to get

3568 = 1971 x 1 + 1597

We consider the new divisor 1971 and the new remainder 1597,and apply the division lemma to get

1971 = 1597 x 1 + 374

We consider the new divisor 1597 and the new remainder 374,and apply the division lemma to get

1597 = 374 x 4 + 101

We consider the new divisor 374 and the new remainder 101,and apply the division lemma to get

374 = 101 x 3 + 71

We consider the new divisor 101 and the new remainder 71,and apply the division lemma to get

101 = 71 x 1 + 30

We consider the new divisor 71 and the new remainder 30,and apply the division lemma to get

71 = 30 x 2 + 11

We consider the new divisor 30 and the new remainder 11,and apply the division lemma to get

30 = 11 x 2 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5539 and 9107 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(30,11) = HCF(71,30) = HCF(101,71) = HCF(374,101) = HCF(1597,374) = HCF(1971,1597) = HCF(3568,1971) = HCF(5539,3568) = HCF(9107,5539) .

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Frequently Asked Questions on HCF of 5539, 9107 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 5539, 9107?

Answer: HCF of 5539, 9107 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5539, 9107 using Euclid's Algorithm?

Answer: For arbitrary numbers 5539, 9107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.