Highest Common Factor of 322, 504, 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 322, 504, 929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 322, 504, 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 322, 504, 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 322, 504, 929 is 1.

HCF(322, 504, 929) = 1

HCF of 322, 504, 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 322, 504, 929 is 1.

Highest Common Factor of 322,504,929 using Euclid's algorithm

Highest Common Factor of 322,504,929 is 1

Step 1: Since 504 > 322, we apply the division lemma to 504 and 322, to get

504 = 322 x 1 + 182

Step 2: Since the reminder 322 ≠ 0, we apply division lemma to 182 and 322, to get

322 = 182 x 1 + 140

Step 3: We consider the new divisor 182 and the new remainder 140, and apply the division lemma to get

182 = 140 x 1 + 42

We consider the new divisor 140 and the new remainder 42,and apply the division lemma to get

140 = 42 x 3 + 14

We consider the new divisor 42 and the new remainder 14,and apply the division lemma to get

42 = 14 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 322 and 504 is 14

Notice that 14 = HCF(42,14) = HCF(140,42) = HCF(182,140) = HCF(322,182) = HCF(504,322) .

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

Step 1: Since 929 > 14, we apply the division lemma to 929 and 14, to get

929 = 14 x 66 + 5

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 5 and 14, to get

14 = 5 x 2 + 4

Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 929 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(929,14) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 322, 504, 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 322, 504, 929?

Answer: HCF of 322, 504, 929 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 322, 504, 929 using Euclid's Algorithm?

Answer: For arbitrary numbers 322, 504, 929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.