Highest Common Factor of 8616, 4725, 23881 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 8616, 4725, 23881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8616, 4725, 23881 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 8616, 4725, 23881 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 8616, 4725, 23881 is 1.

HCF(8616, 4725, 23881) = 1

HCF of 8616, 4725, 23881 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 8616, 4725, 23881 is 1.

Highest Common Factor of 8616,4725,23881 using Euclid's algorithm

Highest Common Factor of 8616,4725,23881 is 1

Step 1: Since 8616 > 4725, we apply the division lemma to 8616 and 4725, to get

8616 = 4725 x 1 + 3891

Step 2: Since the reminder 4725 ≠ 0, we apply division lemma to 3891 and 4725, to get

4725 = 3891 x 1 + 834

Step 3: We consider the new divisor 3891 and the new remainder 834, and apply the division lemma to get

3891 = 834 x 4 + 555

We consider the new divisor 834 and the new remainder 555,and apply the division lemma to get

834 = 555 x 1 + 279

We consider the new divisor 555 and the new remainder 279,and apply the division lemma to get

555 = 279 x 1 + 276

We consider the new divisor 279 and the new remainder 276,and apply the division lemma to get

279 = 276 x 1 + 3

We consider the new divisor 276 and the new remainder 3,and apply the division lemma to get

276 = 3 x 92 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8616 and 4725 is 3

Notice that 3 = HCF(276,3) = HCF(279,276) = HCF(555,279) = HCF(834,555) = HCF(3891,834) = HCF(4725,3891) = HCF(8616,4725) .

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

Step 1: Since 23881 > 3, we apply the division lemma to 23881 and 3, to get

23881 = 3 x 7960 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 23881 is 1

Notice that 1 = HCF(3,1) = HCF(23881,3) .

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Frequently Asked Questions on HCF of 8616, 4725, 23881 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 8616, 4725, 23881?

Answer: HCF of 8616, 4725, 23881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8616, 4725, 23881 using Euclid's Algorithm?

Answer: For arbitrary numbers 8616, 4725, 23881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.