Highest Common Factor of 463, 760, 433 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 463, 760, 433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 463, 760, 433 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 463, 760, 433 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 463, 760, 433 is 1.

HCF(463, 760, 433) = 1

HCF of 463, 760, 433 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 463, 760, 433 is 1.

Highest Common Factor of 463,760,433 using Euclid's algorithm

Highest Common Factor of 463,760,433 is 1

Step 1: Since 760 > 463, we apply the division lemma to 760 and 463, to get

760 = 463 x 1 + 297

Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 297 and 463, to get

463 = 297 x 1 + 166

Step 3: We consider the new divisor 297 and the new remainder 166, and apply the division lemma to get

297 = 166 x 1 + 131

We consider the new divisor 166 and the new remainder 131,and apply the division lemma to get

166 = 131 x 1 + 35

We consider the new divisor 131 and the new remainder 35,and apply the division lemma to get

131 = 35 x 3 + 26

We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get

35 = 26 x 1 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 463 and 760 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(131,35) = HCF(166,131) = HCF(297,166) = HCF(463,297) = HCF(760,463) .

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

Step 1: Since 433 > 1, we apply the division lemma to 433 and 1, to get

433 = 1 x 433 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 433 is 1

Notice that 1 = HCF(433,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 463, 760, 433 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 463, 760, 433?

Answer: HCF of 463, 760, 433 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 463, 760, 433 using Euclid's Algorithm?

Answer: For arbitrary numbers 463, 760, 433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.