Highest Common Factor of 886, 330, 807 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 886, 330, 807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 886, 330, 807 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 886, 330, 807 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 886, 330, 807 is 1.

HCF(886, 330, 807) = 1

HCF of 886, 330, 807 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 886, 330, 807 is 1.

Highest Common Factor of 886,330,807 using Euclid's algorithm

Highest Common Factor of 886,330,807 is 1

Step 1: Since 886 > 330, we apply the division lemma to 886 and 330, to get

886 = 330 x 2 + 226

Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 226 and 330, to get

330 = 226 x 1 + 104

Step 3: We consider the new divisor 226 and the new remainder 104, and apply the division lemma to get

226 = 104 x 2 + 18

We consider the new divisor 104 and the new remainder 18,and apply the division lemma to get

104 = 18 x 5 + 14

We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get

18 = 14 x 1 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 886 and 330 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(104,18) = HCF(226,104) = HCF(330,226) = HCF(886,330) .

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

Step 1: Since 807 > 2, we apply the division lemma to 807 and 2, to get

807 = 2 x 403 + 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 807 is 1

Notice that 1 = HCF(2,1) = HCF(807,2) .

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Frequently Asked Questions on HCF of 886, 330, 807 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 886, 330, 807?

Answer: HCF of 886, 330, 807 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 886, 330, 807 using Euclid's Algorithm?

Answer: For arbitrary numbers 886, 330, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.