Highest Common Factor of 384, 544, 761 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 384, 544, 761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 384, 544, 761 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 384, 544, 761 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 384, 544, 761 is 1.

HCF(384, 544, 761) = 1

HCF of 384, 544, 761 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 384, 544, 761 is 1.

Highest Common Factor of 384,544,761 using Euclid's algorithm

Highest Common Factor of 384,544,761 is 1

Step 1: Since 544 > 384, we apply the division lemma to 544 and 384, to get

544 = 384 x 1 + 160

Step 2: Since the reminder 384 ≠ 0, we apply division lemma to 160 and 384, to get

384 = 160 x 2 + 64

Step 3: We consider the new divisor 160 and the new remainder 64, and apply the division lemma to get

160 = 64 x 2 + 32

We consider the new divisor 64 and the new remainder 32, and apply the division lemma to get

64 = 32 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 384 and 544 is 32

Notice that 32 = HCF(64,32) = HCF(160,64) = HCF(384,160) = HCF(544,384) .

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

Step 1: Since 761 > 32, we apply the division lemma to 761 and 32, to get

761 = 32 x 23 + 25

Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 25 and 32, to get

32 = 25 x 1 + 7

Step 3: 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 32 and 761 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(761,32) .

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Frequently Asked Questions on HCF of 384, 544, 761 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 384, 544, 761?

Answer: HCF of 384, 544, 761 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 384, 544, 761 using Euclid's Algorithm?

Answer: For arbitrary numbers 384, 544, 761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.