Highest Common Factor of 697, 39476 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 697, 39476 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 697, 39476 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 697, 39476 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 697, 39476 is 1.

HCF(697, 39476) = 1

HCF of 697, 39476 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 697, 39476 is 1.

Highest Common Factor of 697,39476 using Euclid's algorithm

Highest Common Factor of 697,39476 is 1

Step 1: Since 39476 > 697, we apply the division lemma to 39476 and 697, to get

39476 = 697 x 56 + 444

Step 2: Since the reminder 697 ≠ 0, we apply division lemma to 444 and 697, to get

697 = 444 x 1 + 253

Step 3: We consider the new divisor 444 and the new remainder 253, and apply the division lemma to get

444 = 253 x 1 + 191

We consider the new divisor 253 and the new remainder 191,and apply the division lemma to get

253 = 191 x 1 + 62

We consider the new divisor 191 and the new remainder 62,and apply the division lemma to get

191 = 62 x 3 + 5

We consider the new divisor 62 and the new remainder 5,and apply the division lemma to get

62 = 5 x 12 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 697 and 39476 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(62,5) = HCF(191,62) = HCF(253,191) = HCF(444,253) = HCF(697,444) = HCF(39476,697) .

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Frequently Asked Questions on HCF of 697, 39476 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 697, 39476?

Answer: HCF of 697, 39476 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 697, 39476 using Euclid's Algorithm?

Answer: For arbitrary numbers 697, 39476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.