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Highest Common Factor of 389, 764, 649 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 389, 764, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 389, 764, 649 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 389, 764, 649 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 389, 764, 649 is 1.

HCF(389, 764, 649) = 1

HCF of 389, 764, 649 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 389, 764, 649 is 1.

Highest Common Factor of 389,764,649 using Euclid's algorithm

Step 1: Since 764 > 389, we apply the division lemma to 764 and 389, to get

764 = 389 x 1 + 375

Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 375 and 389, to get

389 = 375 x 1 + 14

Step 3: We consider the new divisor 375 and the new remainder 14, and apply the division lemma to get

375 = 14 x 26 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

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

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 389 and 764 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(375,14) = HCF(389,375) = HCF(764,389) .


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

Step 1: Since 649 > 1, we apply the division lemma to 649 and 1, to get

649 = 1 x 649 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 649 is 1

Notice that 1 = HCF(649,1) .

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Frequently Asked Questions on HCF of 389, 764, 649 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 389, 764, 649?

Answer: HCF of 389, 764, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 389, 764, 649 using Euclid's Algorithm?

Answer: For arbitrary numbers 389, 764, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.