Highest Common Factor of 579, 905 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 579, 905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 579, 905 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 579, 905 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 579, 905 is 1.

HCF(579, 905) = 1

HCF of 579, 905 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 579, 905 is 1.

Highest Common Factor of 579,905 using Euclid's algorithm

Highest Common Factor of 579,905 is 1

Step 1: Since 905 > 579, we apply the division lemma to 905 and 579, to get

905 = 579 x 1 + 326

Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 326 and 579, to get

579 = 326 x 1 + 253

Step 3: We consider the new divisor 326 and the new remainder 253, and apply the division lemma to get

326 = 253 x 1 + 73

We consider the new divisor 253 and the new remainder 73,and apply the division lemma to get

253 = 73 x 3 + 34

We consider the new divisor 73 and the new remainder 34,and apply the division lemma to get

73 = 34 x 2 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 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 579 and 905 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(73,34) = HCF(253,73) = HCF(326,253) = HCF(579,326) = HCF(905,579) .

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Frequently Asked Questions on HCF of 579, 905 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 579, 905?

Answer: HCF of 579, 905 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 579, 905 using Euclid's Algorithm?

Answer: For arbitrary numbers 579, 905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.