Highest Common Factor of 397, 703, 838, 71 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 397, 703, 838, 71 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 397, 703, 838, 71 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 397, 703, 838, 71 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 397, 703, 838, 71 is 1.

HCF(397, 703, 838, 71) = 1

HCF of 397, 703, 838, 71 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 397, 703, 838, 71 is 1.

Highest Common Factor of 397,703,838,71 using Euclid's algorithm

Highest Common Factor of 397,703,838,71 is 1

Step 1: Since 703 > 397, we apply the division lemma to 703 and 397, to get

703 = 397 x 1 + 306

Step 2: Since the reminder 397 ≠ 0, we apply division lemma to 306 and 397, to get

397 = 306 x 1 + 91

Step 3: We consider the new divisor 306 and the new remainder 91, and apply the division lemma to get

306 = 91 x 3 + 33

We consider the new divisor 91 and the new remainder 33,and apply the division lemma to get

91 = 33 x 2 + 25

We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get

33 = 25 x 1 + 8

We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get

25 = 8 x 3 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 397 and 703 is 1

Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(91,33) = HCF(306,91) = HCF(397,306) = HCF(703,397) .

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

Step 1: Since 838 > 1, we apply the division lemma to 838 and 1, to get

838 = 1 x 838 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 838 is 1

Notice that 1 = HCF(838,1) .

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

Step 1: Since 71 > 1, we apply the division lemma to 71 and 1, to get

71 = 1 x 71 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71 is 1

Notice that 1 = HCF(71,1) .

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Frequently Asked Questions on HCF of 397, 703, 838, 71 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 397, 703, 838, 71?

Answer: HCF of 397, 703, 838, 71 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 397, 703, 838, 71 using Euclid's Algorithm?

Answer: For arbitrary numbers 397, 703, 838, 71 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.