Highest Common Factor of 257, 402, 389 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 257, 402, 389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 257, 402, 389 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 257, 402, 389 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 257, 402, 389 is 1.

HCF(257, 402, 389) = 1

HCF of 257, 402, 389 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 257, 402, 389 is 1.

Highest Common Factor of 257,402,389 using Euclid's algorithm

Highest Common Factor of 257,402,389 is 1

Step 1: Since 402 > 257, we apply the division lemma to 402 and 257, to get

402 = 257 x 1 + 145

Step 2: Since the reminder 257 ≠ 0, we apply division lemma to 145 and 257, to get

257 = 145 x 1 + 112

Step 3: We consider the new divisor 145 and the new remainder 112, and apply the division lemma to get

145 = 112 x 1 + 33

We consider the new divisor 112 and the new remainder 33,and apply the division lemma to get

112 = 33 x 3 + 13

We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get

33 = 13 x 2 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 257 and 402 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(112,33) = HCF(145,112) = HCF(257,145) = HCF(402,257) .

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

Step 1: Since 389 > 1, we apply the division lemma to 389 and 1, to get

389 = 1 x 389 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 389 is 1

Notice that 1 = HCF(389,1) .

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Frequently Asked Questions on HCF of 257, 402, 389 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 257, 402, 389?

Answer: HCF of 257, 402, 389 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 257, 402, 389 using Euclid's Algorithm?

Answer: For arbitrary numbers 257, 402, 389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.