Highest Common Factor of 474, 809, 929 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 474, 809, 929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 474, 809, 929 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 474, 809, 929 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 474, 809, 929 is 1.

HCF(474, 809, 929) = 1

HCF of 474, 809, 929 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 474, 809, 929 is 1.

Highest Common Factor of 474,809,929 using Euclid's algorithm

Highest Common Factor of 474,809,929 is 1

Step 1: Since 809 > 474, we apply the division lemma to 809 and 474, to get

809 = 474 x 1 + 335

Step 2: Since the reminder 474 ≠ 0, we apply division lemma to 335 and 474, to get

474 = 335 x 1 + 139

Step 3: We consider the new divisor 335 and the new remainder 139, and apply the division lemma to get

335 = 139 x 2 + 57

We consider the new divisor 139 and the new remainder 57,and apply the division lemma to get

139 = 57 x 2 + 25

We consider the new divisor 57 and the new remainder 25,and apply the division lemma to get

57 = 25 x 2 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 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 474 and 809 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(57,25) = HCF(139,57) = HCF(335,139) = HCF(474,335) = HCF(809,474) .

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

Step 1: Since 929 > 1, we apply the division lemma to 929 and 1, to get

929 = 1 x 929 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 929 is 1

Notice that 1 = HCF(929,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 474, 809, 929 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 474, 809, 929?

Answer: HCF of 474, 809, 929 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 474, 809, 929 using Euclid's Algorithm?

Answer: For arbitrary numbers 474, 809, 929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.