Highest Common Factor of 3211, 4464 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 3211, 4464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3211, 4464 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 3211, 4464 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 3211, 4464 is 1.

HCF(3211, 4464) = 1

HCF of 3211, 4464 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 3211, 4464 is 1.

Highest Common Factor of 3211,4464 using Euclid's algorithm

Highest Common Factor of 3211,4464 is 1

Step 1: Since 4464 > 3211, we apply the division lemma to 4464 and 3211, to get

4464 = 3211 x 1 + 1253

Step 2: Since the reminder 3211 ≠ 0, we apply division lemma to 1253 and 3211, to get

3211 = 1253 x 2 + 705

Step 3: We consider the new divisor 1253 and the new remainder 705, and apply the division lemma to get

1253 = 705 x 1 + 548

We consider the new divisor 705 and the new remainder 548,and apply the division lemma to get

705 = 548 x 1 + 157

We consider the new divisor 548 and the new remainder 157,and apply the division lemma to get

548 = 157 x 3 + 77

We consider the new divisor 157 and the new remainder 77,and apply the division lemma to get

157 = 77 x 2 + 3

We consider the new divisor 77 and the new remainder 3,and apply the division lemma to get

77 = 3 x 25 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3211 and 4464 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(77,3) = HCF(157,77) = HCF(548,157) = HCF(705,548) = HCF(1253,705) = HCF(3211,1253) = HCF(4464,3211) .

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Frequently Asked Questions on HCF of 3211, 4464 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 3211, 4464?

Answer: HCF of 3211, 4464 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3211, 4464 using Euclid's Algorithm?

Answer: For arbitrary numbers 3211, 4464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.