Highest Common Factor of 6573, 5613, 94628 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 6573, 5613, 94628 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6573, 5613, 94628 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 6573, 5613, 94628 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 6573, 5613, 94628 is 1.

HCF(6573, 5613, 94628) = 1

HCF of 6573, 5613, 94628 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 6573, 5613, 94628 is 1.

Highest Common Factor of 6573,5613,94628 using Euclid's algorithm

Highest Common Factor of 6573,5613,94628 is 1

Step 1: Since 6573 > 5613, we apply the division lemma to 6573 and 5613, to get

6573 = 5613 x 1 + 960

Step 2: Since the reminder 5613 ≠ 0, we apply division lemma to 960 and 5613, to get

5613 = 960 x 5 + 813

Step 3: We consider the new divisor 960 and the new remainder 813, and apply the division lemma to get

960 = 813 x 1 + 147

We consider the new divisor 813 and the new remainder 147,and apply the division lemma to get

813 = 147 x 5 + 78

We consider the new divisor 147 and the new remainder 78,and apply the division lemma to get

147 = 78 x 1 + 69

We consider the new divisor 78 and the new remainder 69,and apply the division lemma to get

78 = 69 x 1 + 9

We consider the new divisor 69 and the new remainder 9,and apply the division lemma to get

69 = 9 x 7 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6573 and 5613 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(69,9) = HCF(78,69) = HCF(147,78) = HCF(813,147) = HCF(960,813) = HCF(5613,960) = HCF(6573,5613) .

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

Step 1: Since 94628 > 3, we apply the division lemma to 94628 and 3, to get

94628 = 3 x 31542 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 94628 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(94628,3) .

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Frequently Asked Questions on HCF of 6573, 5613, 94628 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 6573, 5613, 94628?

Answer: HCF of 6573, 5613, 94628 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6573, 5613, 94628 using Euclid's Algorithm?

Answer: For arbitrary numbers 6573, 5613, 94628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.