Highest Common Factor of 868, 406, 182 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 868, 406, 182 i.e. 14 the largest integer that leaves a remainder zero for all numbers.

HCF of 868, 406, 182 is 14 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 868, 406, 182 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 868, 406, 182 is 14.

HCF(868, 406, 182) = 14

HCF of 868, 406, 182 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 868, 406, 182 is 14.

Highest Common Factor of 868,406,182 using Euclid's algorithm

Highest Common Factor of 868,406,182 is 14

Step 1: Since 868 > 406, we apply the division lemma to 868 and 406, to get

868 = 406 x 2 + 56

Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 56 and 406, to get

406 = 56 x 7 + 14

Step 3: We consider the new divisor 56 and the new remainder 14, and apply the division lemma to get

56 = 14 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 868 and 406 is 14

Notice that 14 = HCF(56,14) = HCF(406,56) = HCF(868,406) .


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

Step 1: Since 182 > 14, we apply the division lemma to 182 and 14, to get

182 = 14 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 14 and 182 is 14

Notice that 14 = HCF(182,14) .

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Frequently Asked Questions on HCF of 868, 406, 182 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 868, 406, 182?

Answer: HCF of 868, 406, 182 is 14 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 868, 406, 182 using Euclid's Algorithm?

Answer: For arbitrary numbers 868, 406, 182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.