Highest Common Factor of 4779, 3923 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 4779, 3923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4779, 3923 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 4779, 3923 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 4779, 3923 is 1.

HCF(4779, 3923) = 1

HCF of 4779, 3923 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 4779, 3923 is 1.

Highest Common Factor of 4779,3923 using Euclid's algorithm

Highest Common Factor of 4779,3923 is 1

Step 1: Since 4779 > 3923, we apply the division lemma to 4779 and 3923, to get

4779 = 3923 x 1 + 856

Step 2: Since the reminder 3923 ≠ 0, we apply division lemma to 856 and 3923, to get

3923 = 856 x 4 + 499

Step 3: We consider the new divisor 856 and the new remainder 499, and apply the division lemma to get

856 = 499 x 1 + 357

We consider the new divisor 499 and the new remainder 357,and apply the division lemma to get

499 = 357 x 1 + 142

We consider the new divisor 357 and the new remainder 142,and apply the division lemma to get

357 = 142 x 2 + 73

We consider the new divisor 142 and the new remainder 73,and apply the division lemma to get

142 = 73 x 1 + 69

We consider the new divisor 73 and the new remainder 69,and apply the division lemma to get

73 = 69 x 1 + 4

We consider the new divisor 69 and the new remainder 4,and apply the division lemma to get

69 = 4 x 17 + 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 4779 and 3923 is 1

Notice that 1 = HCF(4,1) = HCF(69,4) = HCF(73,69) = HCF(142,73) = HCF(357,142) = HCF(499,357) = HCF(856,499) = HCF(3923,856) = HCF(4779,3923) .

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Frequently Asked Questions on HCF of 4779, 3923 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 4779, 3923?

Answer: HCF of 4779, 3923 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4779, 3923 using Euclid's Algorithm?

Answer: For arbitrary numbers 4779, 3923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.