Highest Common Factor of 1082, 4973, 70171 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 1082, 4973, 70171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1082, 4973, 70171 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 1082, 4973, 70171 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 1082, 4973, 70171 is 1.

HCF(1082, 4973, 70171) = 1

HCF of 1082, 4973, 70171 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 1082, 4973, 70171 is 1.

Highest Common Factor of 1082,4973,70171 using Euclid's algorithm

Highest Common Factor of 1082,4973,70171 is 1

Step 1: Since 4973 > 1082, we apply the division lemma to 4973 and 1082, to get

4973 = 1082 x 4 + 645

Step 2: Since the reminder 1082 ≠ 0, we apply division lemma to 645 and 1082, to get

1082 = 645 x 1 + 437

Step 3: We consider the new divisor 645 and the new remainder 437, and apply the division lemma to get

645 = 437 x 1 + 208

We consider the new divisor 437 and the new remainder 208,and apply the division lemma to get

437 = 208 x 2 + 21

We consider the new divisor 208 and the new remainder 21,and apply the division lemma to get

208 = 21 x 9 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 1082 and 4973 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(208,21) = HCF(437,208) = HCF(645,437) = HCF(1082,645) = HCF(4973,1082) .

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

Step 1: Since 70171 > 1, we apply the division lemma to 70171 and 1, to get

70171 = 1 x 70171 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70171 is 1

Notice that 1 = HCF(70171,1) .

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Frequently Asked Questions on HCF of 1082, 4973, 70171 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 1082, 4973, 70171?

Answer: HCF of 1082, 4973, 70171 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1082, 4973, 70171 using Euclid's Algorithm?

Answer: For arbitrary numbers 1082, 4973, 70171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.