Highest Common Factor of 328, 929, 840 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 328, 929, 840 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 328, 929, 840 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 328, 929, 840 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 328, 929, 840 is 1.

HCF(328, 929, 840) = 1

HCF of 328, 929, 840 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 328, 929, 840 is 1.

Highest Common Factor of 328,929,840 using Euclid's algorithm

Highest Common Factor of 328,929,840 is 1

Step 1: Since 929 > 328, we apply the division lemma to 929 and 328, to get

929 = 328 x 2 + 273

Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 273 and 328, to get

328 = 273 x 1 + 55

Step 3: We consider the new divisor 273 and the new remainder 55, and apply the division lemma to get

273 = 55 x 4 + 53

We consider the new divisor 55 and the new remainder 53,and apply the division lemma to get

55 = 53 x 1 + 2

We consider the new divisor 53 and the new remainder 2,and apply the division lemma to get

53 = 2 x 26 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 328 and 929 is 1

Notice that 1 = HCF(2,1) = HCF(53,2) = HCF(55,53) = HCF(273,55) = HCF(328,273) = HCF(929,328) .

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

Step 1: Since 840 > 1, we apply the division lemma to 840 and 1, to get

840 = 1 x 840 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 840 is 1

Notice that 1 = HCF(840,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 328, 929, 840 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 328, 929, 840?

Answer: HCF of 328, 929, 840 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 328, 929, 840 using Euclid's Algorithm?

Answer: For arbitrary numbers 328, 929, 840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.