Highest Common Factor of 889, 345, 579 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 889, 345, 579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 889, 345, 579 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 889, 345, 579 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 889, 345, 579 is 1.

HCF(889, 345, 579) = 1

HCF of 889, 345, 579 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 889, 345, 579 is 1.

Highest Common Factor of 889,345,579 using Euclid's algorithm

Highest Common Factor of 889,345,579 is 1

Step 1: Since 889 > 345, we apply the division lemma to 889 and 345, to get

889 = 345 x 2 + 199

Step 2: Since the reminder 345 ≠ 0, we apply division lemma to 199 and 345, to get

345 = 199 x 1 + 146

Step 3: We consider the new divisor 199 and the new remainder 146, and apply the division lemma to get

199 = 146 x 1 + 53

We consider the new divisor 146 and the new remainder 53,and apply the division lemma to get

146 = 53 x 2 + 40

We consider the new divisor 53 and the new remainder 40,and apply the division lemma to get

53 = 40 x 1 + 13

We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get

40 = 13 x 3 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 889 and 345 is 1

Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(53,40) = HCF(146,53) = HCF(199,146) = HCF(345,199) = HCF(889,345) .

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

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

579 = 1 x 579 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 579 is 1

Notice that 1 = HCF(579,1) .

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Frequently Asked Questions on HCF of 889, 345, 579 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 889, 345, 579?

Answer: HCF of 889, 345, 579 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 889, 345, 579 using Euclid's Algorithm?

Answer: For arbitrary numbers 889, 345, 579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.