Highest Common Factor of 466, 814, 679 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 466, 814, 679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 466, 814, 679 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 466, 814, 679 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 466, 814, 679 is 1.

HCF(466, 814, 679) = 1

HCF of 466, 814, 679 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 466, 814, 679 is 1.

Highest Common Factor of 466,814,679 using Euclid's algorithm

Highest Common Factor of 466,814,679 is 1

Step 1: Since 814 > 466, we apply the division lemma to 814 and 466, to get

814 = 466 x 1 + 348

Step 2: Since the reminder 466 ≠ 0, we apply division lemma to 348 and 466, to get

466 = 348 x 1 + 118

Step 3: We consider the new divisor 348 and the new remainder 118, and apply the division lemma to get

348 = 118 x 2 + 112

We consider the new divisor 118 and the new remainder 112,and apply the division lemma to get

118 = 112 x 1 + 6

We consider the new divisor 112 and the new remainder 6,and apply the division lemma to get

112 = 6 x 18 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 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 466 and 814 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(112,6) = HCF(118,112) = HCF(348,118) = HCF(466,348) = HCF(814,466) .

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

Step 1: Since 679 > 2, we apply the division lemma to 679 and 2, to get

679 = 2 x 339 + 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 679 is 1

Notice that 1 = HCF(2,1) = HCF(679,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 466, 814, 679 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 466, 814, 679?

Answer: HCF of 466, 814, 679 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 466, 814, 679 using Euclid's Algorithm?

Answer: For arbitrary numbers 466, 814, 679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.