Highest Common Factor of 744, 385, 417 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 744, 385, 417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 744, 385, 417 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 744, 385, 417 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 744, 385, 417 is 1.

HCF(744, 385, 417) = 1

HCF of 744, 385, 417 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 744, 385, 417 is 1.

Highest Common Factor of 744,385,417 using Euclid's algorithm

Highest Common Factor of 744,385,417 is 1

Step 1: Since 744 > 385, we apply the division lemma to 744 and 385, to get

744 = 385 x 1 + 359

Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 359 and 385, to get

385 = 359 x 1 + 26

Step 3: We consider the new divisor 359 and the new remainder 26, and apply the division lemma to get

359 = 26 x 13 + 21

We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get

26 = 21 x 1 + 5

We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get

21 = 5 x 4 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 744 and 385 is 1

Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(359,26) = HCF(385,359) = HCF(744,385) .

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

Step 1: Since 417 > 1, we apply the division lemma to 417 and 1, to get

417 = 1 x 417 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 417 is 1

Notice that 1 = HCF(417,1) .

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Frequently Asked Questions on HCF of 744, 385, 417 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 744, 385, 417?

Answer: HCF of 744, 385, 417 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 744, 385, 417 using Euclid's Algorithm?

Answer: For arbitrary numbers 744, 385, 417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.