Highest Common Factor of 685, 999, 328 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 685, 999, 328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 685, 999, 328 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 685, 999, 328 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 685, 999, 328 is 1.

HCF(685, 999, 328) = 1

HCF of 685, 999, 328 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 685, 999, 328 is 1.

Highest Common Factor of 685,999,328 using Euclid's algorithm

Highest Common Factor of 685,999,328 is 1

Step 1: Since 999 > 685, we apply the division lemma to 999 and 685, to get

999 = 685 x 1 + 314

Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 314 and 685, to get

685 = 314 x 2 + 57

Step 3: We consider the new divisor 314 and the new remainder 57, and apply the division lemma to get

314 = 57 x 5 + 29

We consider the new divisor 57 and the new remainder 29,and apply the division lemma to get

57 = 29 x 1 + 28

We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get

29 = 28 x 1 + 1

We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 685 and 999 is 1

Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(57,29) = HCF(314,57) = HCF(685,314) = HCF(999,685) .

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

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

328 = 1 x 328 + 0

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

Notice that 1 = HCF(328,1) .

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Frequently Asked Questions on HCF of 685, 999, 328 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 685, 999, 328?

Answer: HCF of 685, 999, 328 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 685, 999, 328 using Euclid's Algorithm?

Answer: For arbitrary numbers 685, 999, 328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.