Highest Common Factor of 9568, 5575, 32445 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 9568, 5575, 32445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9568, 5575, 32445 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 9568, 5575, 32445 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 9568, 5575, 32445 is 1.

HCF(9568, 5575, 32445) = 1

HCF of 9568, 5575, 32445 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 9568, 5575, 32445 is 1.

Highest Common Factor of 9568,5575,32445 using Euclid's algorithm

Highest Common Factor of 9568,5575,32445 is 1

Step 1: Since 9568 > 5575, we apply the division lemma to 9568 and 5575, to get

9568 = 5575 x 1 + 3993

Step 2: Since the reminder 5575 ≠ 0, we apply division lemma to 3993 and 5575, to get

5575 = 3993 x 1 + 1582

Step 3: We consider the new divisor 3993 and the new remainder 1582, and apply the division lemma to get

3993 = 1582 x 2 + 829

We consider the new divisor 1582 and the new remainder 829,and apply the division lemma to get

1582 = 829 x 1 + 753

We consider the new divisor 829 and the new remainder 753,and apply the division lemma to get

829 = 753 x 1 + 76

We consider the new divisor 753 and the new remainder 76,and apply the division lemma to get

753 = 76 x 9 + 69

We consider the new divisor 76 and the new remainder 69,and apply the division lemma to get

76 = 69 x 1 + 7

We consider the new divisor 69 and the new remainder 7,and apply the division lemma to get

69 = 7 x 9 + 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 9568 and 5575 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(69,7) = HCF(76,69) = HCF(753,76) = HCF(829,753) = HCF(1582,829) = HCF(3993,1582) = HCF(5575,3993) = HCF(9568,5575) .

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

Step 1: Since 32445 > 1, we apply the division lemma to 32445 and 1, to get

32445 = 1 x 32445 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32445 is 1

Notice that 1 = HCF(32445,1) .

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Frequently Asked Questions on HCF of 9568, 5575, 32445 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 9568, 5575, 32445?

Answer: HCF of 9568, 5575, 32445 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9568, 5575, 32445 using Euclid's Algorithm?

Answer: For arbitrary numbers 9568, 5575, 32445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.