Highest Common Factor of 429, 407, 363 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 429, 407, 363 i.e. 11 the largest integer that leaves a remainder zero for all numbers.

HCF of 429, 407, 363 is 11 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 429, 407, 363 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 429, 407, 363 is 11.

HCF(429, 407, 363) = 11

HCF of 429, 407, 363 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 429, 407, 363 is 11.

Highest Common Factor of 429,407,363 using Euclid's algorithm

Highest Common Factor of 429,407,363 is 11

Step 1: Since 429 > 407, we apply the division lemma to 429 and 407, to get

429 = 407 x 1 + 22

Step 2: Since the reminder 407 ≠ 0, we apply division lemma to 22 and 407, to get

407 = 22 x 18 + 11

Step 3: We consider the new divisor 22 and the new remainder 11, and apply the division lemma to get

22 = 11 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 429 and 407 is 11

Notice that 11 = HCF(22,11) = HCF(407,22) = HCF(429,407) .


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

Step 1: Since 363 > 11, we apply the division lemma to 363 and 11, to get

363 = 11 x 33 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 11 and 363 is 11

Notice that 11 = HCF(363,11) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 429, 407, 363 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 429, 407, 363?

Answer: HCF of 429, 407, 363 is 11 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 429, 407, 363 using Euclid's Algorithm?

Answer: For arbitrary numbers 429, 407, 363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.