Highest Common Factor of 471, 2030, 6979 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 471, 2030, 6979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 471, 2030, 6979 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 471, 2030, 6979 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 471, 2030, 6979 is 1.

HCF(471, 2030, 6979) = 1

HCF of 471, 2030, 6979 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 471, 2030, 6979 is 1.

Highest Common Factor of 471,2030,6979 using Euclid's algorithm

Highest Common Factor of 471,2030,6979 is 1

Step 1: Since 2030 > 471, we apply the division lemma to 2030 and 471, to get

2030 = 471 x 4 + 146

Step 2: Since the reminder 471 ≠ 0, we apply division lemma to 146 and 471, to get

471 = 146 x 3 + 33

Step 3: We consider the new divisor 146 and the new remainder 33, and apply the division lemma to get

146 = 33 x 4 + 14

We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get

33 = 14 x 2 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 471 and 2030 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(146,33) = HCF(471,146) = HCF(2030,471) .

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

Step 1: Since 6979 > 1, we apply the division lemma to 6979 and 1, to get

6979 = 1 x 6979 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6979 is 1

Notice that 1 = HCF(6979,1) .

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Frequently Asked Questions on HCF of 471, 2030, 6979 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 471, 2030, 6979?

Answer: HCF of 471, 2030, 6979 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 471, 2030, 6979 using Euclid's Algorithm?

Answer: For arbitrary numbers 471, 2030, 6979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.