Highest Common Factor of 401, 692, 239 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 401, 692, 239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 401, 692, 239 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 401, 692, 239 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 401, 692, 239 is 1.

HCF(401, 692, 239) = 1

HCF of 401, 692, 239 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 401, 692, 239 is 1.

Highest Common Factor of 401,692,239 using Euclid's algorithm

Highest Common Factor of 401,692,239 is 1

Step 1: Since 692 > 401, we apply the division lemma to 692 and 401, to get

692 = 401 x 1 + 291

Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 291 and 401, to get

401 = 291 x 1 + 110

Step 3: We consider the new divisor 291 and the new remainder 110, and apply the division lemma to get

291 = 110 x 2 + 71

We consider the new divisor 110 and the new remainder 71,and apply the division lemma to get

110 = 71 x 1 + 39

We consider the new divisor 71 and the new remainder 39,and apply the division lemma to get

71 = 39 x 1 + 32

We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get

39 = 32 x 1 + 7

We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get

32 = 7 x 4 + 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 401 and 692 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(71,39) = HCF(110,71) = HCF(291,110) = HCF(401,291) = HCF(692,401) .

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

Step 1: Since 239 > 1, we apply the division lemma to 239 and 1, to get

239 = 1 x 239 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 239 is 1

Notice that 1 = HCF(239,1) .

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Frequently Asked Questions on HCF of 401, 692, 239 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 401, 692, 239?

Answer: HCF of 401, 692, 239 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 401, 692, 239 using Euclid's Algorithm?

Answer: For arbitrary numbers 401, 692, 239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.