Highest Common Factor of 567, 908, 258 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 567, 908, 258 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 567, 908, 258 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 567, 908, 258 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 567, 908, 258 is 1.

HCF(567, 908, 258) = 1

HCF of 567, 908, 258 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 567, 908, 258 is 1.

Highest Common Factor of 567,908,258 using Euclid's algorithm

Highest Common Factor of 567,908,258 is 1

Step 1: Since 908 > 567, we apply the division lemma to 908 and 567, to get

908 = 567 x 1 + 341

Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 341 and 567, to get

567 = 341 x 1 + 226

Step 3: We consider the new divisor 341 and the new remainder 226, and apply the division lemma to get

341 = 226 x 1 + 115

We consider the new divisor 226 and the new remainder 115,and apply the division lemma to get

226 = 115 x 1 + 111

We consider the new divisor 115 and the new remainder 111,and apply the division lemma to get

115 = 111 x 1 + 4

We consider the new divisor 111 and the new remainder 4,and apply the division lemma to get

111 = 4 x 27 + 3

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

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 567 and 908 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(111,4) = HCF(115,111) = HCF(226,115) = HCF(341,226) = HCF(567,341) = HCF(908,567) .

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

Step 1: Since 258 > 1, we apply the division lemma to 258 and 1, to get

258 = 1 x 258 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 258 is 1

Notice that 1 = HCF(258,1) .

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Frequently Asked Questions on HCF of 567, 908, 258 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 567, 908, 258?

Answer: HCF of 567, 908, 258 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 567, 908, 258 using Euclid's Algorithm?

Answer: For arbitrary numbers 567, 908, 258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.