Highest Common Factor of 358, 584, 861 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 358, 584, 861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 358, 584, 861 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 358, 584, 861 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 358, 584, 861 is 1.

HCF(358, 584, 861) = 1

HCF of 358, 584, 861 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 358, 584, 861 is 1.

Highest Common Factor of 358,584,861 using Euclid's algorithm

Highest Common Factor of 358,584,861 is 1

Step 1: Since 584 > 358, we apply the division lemma to 584 and 358, to get

584 = 358 x 1 + 226

Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 226 and 358, to get

358 = 226 x 1 + 132

Step 3: We consider the new divisor 226 and the new remainder 132, and apply the division lemma to get

226 = 132 x 1 + 94

We consider the new divisor 132 and the new remainder 94,and apply the division lemma to get

132 = 94 x 1 + 38

We consider the new divisor 94 and the new remainder 38,and apply the division lemma to get

94 = 38 x 2 + 18

We consider the new divisor 38 and the new remainder 18,and apply the division lemma to get

38 = 18 x 2 + 2

We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get

18 = 2 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 358 and 584 is 2

Notice that 2 = HCF(18,2) = HCF(38,18) = HCF(94,38) = HCF(132,94) = HCF(226,132) = HCF(358,226) = HCF(584,358) .

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

Step 1: Since 861 > 2, we apply the division lemma to 861 and 2, to get

861 = 2 x 430 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 861 is 1

Notice that 1 = HCF(2,1) = HCF(861,2) .

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Frequently Asked Questions on HCF of 358, 584, 861 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 358, 584, 861?

Answer: HCF of 358, 584, 861 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 358, 584, 861 using Euclid's Algorithm?

Answer: For arbitrary numbers 358, 584, 861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.