Highest Common Factor of 9772, 5669 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 9772, 5669 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9772, 5669 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 9772, 5669 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 9772, 5669 is 1.

HCF(9772, 5669) = 1

HCF of 9772, 5669 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 9772, 5669 is 1.

Highest Common Factor of 9772,5669 using Euclid's algorithm

Highest Common Factor of 9772,5669 is 1

Step 1: Since 9772 > 5669, we apply the division lemma to 9772 and 5669, to get

9772 = 5669 x 1 + 4103

Step 2: Since the reminder 5669 ≠ 0, we apply division lemma to 4103 and 5669, to get

5669 = 4103 x 1 + 1566

Step 3: We consider the new divisor 4103 and the new remainder 1566, and apply the division lemma to get

4103 = 1566 x 2 + 971

We consider the new divisor 1566 and the new remainder 971,and apply the division lemma to get

1566 = 971 x 1 + 595

We consider the new divisor 971 and the new remainder 595,and apply the division lemma to get

971 = 595 x 1 + 376

We consider the new divisor 595 and the new remainder 376,and apply the division lemma to get

595 = 376 x 1 + 219

We consider the new divisor 376 and the new remainder 219,and apply the division lemma to get

376 = 219 x 1 + 157

We consider the new divisor 219 and the new remainder 157,and apply the division lemma to get

219 = 157 x 1 + 62

We consider the new divisor 157 and the new remainder 62,and apply the division lemma to get

157 = 62 x 2 + 33

We consider the new divisor 62 and the new remainder 33,and apply the division lemma to get

62 = 33 x 1 + 29

We consider the new divisor 33 and the new remainder 29,and apply the division lemma to get

33 = 29 x 1 + 4

We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get

29 = 4 x 7 + 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 9772 and 5669 is 1

Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(33,29) = HCF(62,33) = HCF(157,62) = HCF(219,157) = HCF(376,219) = HCF(595,376) = HCF(971,595) = HCF(1566,971) = HCF(4103,1566) = HCF(5669,4103) = HCF(9772,5669) .

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Frequently Asked Questions on HCF of 9772, 5669 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 9772, 5669?

Answer: HCF of 9772, 5669 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9772, 5669 using Euclid's Algorithm?

Answer: For arbitrary numbers 9772, 5669 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.