Highest Common Factor of 9523, 2143, 63544 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 9523, 2143, 63544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9523, 2143, 63544 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 9523, 2143, 63544 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 9523, 2143, 63544 is 1.

HCF(9523, 2143, 63544) = 1

HCF of 9523, 2143, 63544 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 9523, 2143, 63544 is 1.

Highest Common Factor of 9523,2143,63544 using Euclid's algorithm

Highest Common Factor of 9523,2143,63544 is 1

Step 1: Since 9523 > 2143, we apply the division lemma to 9523 and 2143, to get

9523 = 2143 x 4 + 951

Step 2: Since the reminder 2143 ≠ 0, we apply division lemma to 951 and 2143, to get

2143 = 951 x 2 + 241

Step 3: We consider the new divisor 951 and the new remainder 241, and apply the division lemma to get

951 = 241 x 3 + 228

We consider the new divisor 241 and the new remainder 228,and apply the division lemma to get

241 = 228 x 1 + 13

We consider the new divisor 228 and the new remainder 13,and apply the division lemma to get

228 = 13 x 17 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 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 9523 and 2143 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(228,13) = HCF(241,228) = HCF(951,241) = HCF(2143,951) = HCF(9523,2143) .

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

Step 1: Since 63544 > 1, we apply the division lemma to 63544 and 1, to get

63544 = 1 x 63544 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63544 is 1

Notice that 1 = HCF(63544,1) .

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Frequently Asked Questions on HCF of 9523, 2143, 63544 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 9523, 2143, 63544?

Answer: HCF of 9523, 2143, 63544 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9523, 2143, 63544 using Euclid's Algorithm?

Answer: For arbitrary numbers 9523, 2143, 63544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.