Highest Common Factor of 559, 858, 932 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 559, 858, 932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 559, 858, 932 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 559, 858, 932 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 559, 858, 932 is 1.

HCF(559, 858, 932) = 1

HCF of 559, 858, 932 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 559, 858, 932 is 1.

Highest Common Factor of 559,858,932 using Euclid's algorithm

Highest Common Factor of 559,858,932 is 1

Step 1: Since 858 > 559, we apply the division lemma to 858 and 559, to get

858 = 559 x 1 + 299

Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 299 and 559, to get

559 = 299 x 1 + 260

Step 3: We consider the new divisor 299 and the new remainder 260, and apply the division lemma to get

299 = 260 x 1 + 39

We consider the new divisor 260 and the new remainder 39,and apply the division lemma to get

260 = 39 x 6 + 26

We consider the new divisor 39 and the new remainder 26,and apply the division lemma to get

39 = 26 x 1 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 559 and 858 is 13

Notice that 13 = HCF(26,13) = HCF(39,26) = HCF(260,39) = HCF(299,260) = HCF(559,299) = HCF(858,559) .

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

Step 1: Since 932 > 13, we apply the division lemma to 932 and 13, to get

932 = 13 x 71 + 9

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 9 and 13, to get

13 = 9 x 1 + 4

Step 3: We consider the new divisor 9 and the new remainder 4, and apply the division lemma to get

9 = 4 x 2 + 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 13 and 932 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(932,13) .

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Frequently Asked Questions on HCF of 559, 858, 932 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 559, 858, 932?

Answer: HCF of 559, 858, 932 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 559, 858, 932 using Euclid's Algorithm?

Answer: For arbitrary numbers 559, 858, 932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.