Highest Common Factor of 858, 902, 361 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, 902, 361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 858, 902, 361 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, 902, 361 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, 902, 361 is 1.

HCF(858, 902, 361) = 1

HCF of 858, 902, 361 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, 902, 361 is 1.

Highest Common Factor of 858,902,361 using Euclid's algorithm

Highest Common Factor of 858,902,361 is 1

Step 1: Since 902 > 858, we apply the division lemma to 902 and 858, to get

902 = 858 x 1 + 44

Step 2: Since the reminder 858 ≠ 0, we apply division lemma to 44 and 858, to get

858 = 44 x 19 + 22

Step 3: We consider the new divisor 44 and the new remainder 22, and apply the division lemma to get

44 = 22 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 858 and 902 is 22

Notice that 22 = HCF(44,22) = HCF(858,44) = HCF(902,858) .

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

Step 1: Since 361 > 22, we apply the division lemma to 361 and 22, to get

361 = 22 x 16 + 9

Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 9 and 22, to get

22 = 9 x 2 + 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 22 and 361 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(361,22) .

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Frequently Asked Questions on HCF of 858, 902, 361 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, 902, 361?

Answer: HCF of 858, 902, 361 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 858, 902, 361 using Euclid's Algorithm?

Answer: For arbitrary numbers 858, 902, 361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.