Highest Common Factor of 4470, 971 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 4470, 971 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4470, 971 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 4470, 971 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 4470, 971 is 1.

HCF(4470, 971) = 1

HCF of 4470, 971 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 4470, 971 is 1.

Highest Common Factor of 4470,971 using Euclid's algorithm

Highest Common Factor of 4470,971 is 1

Step 1: Since 4470 > 971, we apply the division lemma to 4470 and 971, to get

4470 = 971 x 4 + 586

Step 2: Since the reminder 971 ≠ 0, we apply division lemma to 586 and 971, to get

971 = 586 x 1 + 385

Step 3: We consider the new divisor 586 and the new remainder 385, and apply the division lemma to get

586 = 385 x 1 + 201

We consider the new divisor 385 and the new remainder 201,and apply the division lemma to get

385 = 201 x 1 + 184

We consider the new divisor 201 and the new remainder 184,and apply the division lemma to get

201 = 184 x 1 + 17

We consider the new divisor 184 and the new remainder 17,and apply the division lemma to get

184 = 17 x 10 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 4470 and 971 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(184,17) = HCF(201,184) = HCF(385,201) = HCF(586,385) = HCF(971,586) = HCF(4470,971) .

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Frequently Asked Questions on HCF of 4470, 971 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 4470, 971?

Answer: HCF of 4470, 971 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4470, 971 using Euclid's Algorithm?

Answer: For arbitrary numbers 4470, 971 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.