Highest Common Factor of 9552, 8179 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 9552, 8179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9552, 8179 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 9552, 8179 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 9552, 8179 is 1.

HCF(9552, 8179) = 1

HCF of 9552, 8179 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 9552, 8179 is 1.

Highest Common Factor of 9552,8179 using Euclid's algorithm

Highest Common Factor of 9552,8179 is 1

Step 1: Since 9552 > 8179, we apply the division lemma to 9552 and 8179, to get

9552 = 8179 x 1 + 1373

Step 2: Since the reminder 8179 ≠ 0, we apply division lemma to 1373 and 8179, to get

8179 = 1373 x 5 + 1314

Step 3: We consider the new divisor 1373 and the new remainder 1314, and apply the division lemma to get

1373 = 1314 x 1 + 59

We consider the new divisor 1314 and the new remainder 59,and apply the division lemma to get

1314 = 59 x 22 + 16

We consider the new divisor 59 and the new remainder 16,and apply the division lemma to get

59 = 16 x 3 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9552 and 8179 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(59,16) = HCF(1314,59) = HCF(1373,1314) = HCF(8179,1373) = HCF(9552,8179) .

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Frequently Asked Questions on HCF of 9552, 8179 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 9552, 8179?

Answer: HCF of 9552, 8179 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9552, 8179 using Euclid's Algorithm?

Answer: For arbitrary numbers 9552, 8179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.