Highest Common Factor of 673, 426 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 673, 426 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 673, 426 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 673, 426 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 673, 426 is 1.

HCF(673, 426) = 1

HCF of 673, 426 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 673, 426 is 1.

Highest Common Factor of 673,426 using Euclid's algorithm

Highest Common Factor of 673,426 is 1

Step 1: Since 673 > 426, we apply the division lemma to 673 and 426, to get

673 = 426 x 1 + 247

Step 2: Since the reminder 426 ≠ 0, we apply division lemma to 247 and 426, to get

426 = 247 x 1 + 179

Step 3: We consider the new divisor 247 and the new remainder 179, and apply the division lemma to get

247 = 179 x 1 + 68

We consider the new divisor 179 and the new remainder 68,and apply the division lemma to get

179 = 68 x 2 + 43

We consider the new divisor 68 and the new remainder 43,and apply the division lemma to get

68 = 43 x 1 + 25

We consider the new divisor 43 and the new remainder 25,and apply the division lemma to get

43 = 25 x 1 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 673 and 426 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(43,25) = HCF(68,43) = HCF(179,68) = HCF(247,179) = HCF(426,247) = HCF(673,426) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 673, 426 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 673, 426?

Answer: HCF of 673, 426 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 673, 426 using Euclid's Algorithm?

Answer: For arbitrary numbers 673, 426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.