Highest Common Factor of 858, 650, 281 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 858, 650, 281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 858, 650, 281 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 858, 650, 281 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 858, 650, 281 is 1.

HCF(858, 650, 281) = 1

HCF of 858, 650, 281 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 858, 650, 281 is 1.

Highest Common Factor of 858,650,281 using Euclid's algorithm

Highest Common Factor of 858,650,281 is 1

Step 1: Since 858 > 650, we apply the division lemma to 858 and 650, to get

858 = 650 x 1 + 208

Step 2: Since the reminder 650 ≠ 0, we apply division lemma to 208 and 650, to get

650 = 208 x 3 + 26

Step 3: We consider the new divisor 208 and the new remainder 26, and apply the division lemma to get

208 = 26 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 858 and 650 is 26

Notice that 26 = HCF(208,26) = HCF(650,208) = HCF(858,650) .

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

Step 1: Since 281 > 26, we apply the division lemma to 281 and 26, to get

281 = 26 x 10 + 21

Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 21 and 26, to get

26 = 21 x 1 + 5

Step 3: We consider the new divisor 21 and the new remainder 5, and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 26 and 281 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(281,26) .

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Frequently Asked Questions on HCF of 858, 650, 281 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 858, 650, 281?

Answer: HCF of 858, 650, 281 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 858, 650, 281 using Euclid's Algorithm?

Answer: For arbitrary numbers 858, 650, 281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.