Highest Common Factor of 342, 551, 251 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 342, 551, 251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 342, 551, 251 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 342, 551, 251 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 342, 551, 251 is 1.

HCF(342, 551, 251) = 1

HCF of 342, 551, 251 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 342, 551, 251 is 1.

Highest Common Factor of 342,551,251 using Euclid's algorithm

Highest Common Factor of 342,551,251 is 1

Step 1: Since 551 > 342, we apply the division lemma to 551 and 342, to get

551 = 342 x 1 + 209

Step 2: Since the reminder 342 ≠ 0, we apply division lemma to 209 and 342, to get

342 = 209 x 1 + 133

Step 3: We consider the new divisor 209 and the new remainder 133, and apply the division lemma to get

209 = 133 x 1 + 76

We consider the new divisor 133 and the new remainder 76,and apply the division lemma to get

133 = 76 x 1 + 57

We consider the new divisor 76 and the new remainder 57,and apply the division lemma to get

76 = 57 x 1 + 19

We consider the new divisor 57 and the new remainder 19,and apply the division lemma to get

57 = 19 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 342 and 551 is 19

Notice that 19 = HCF(57,19) = HCF(76,57) = HCF(133,76) = HCF(209,133) = HCF(342,209) = HCF(551,342) .

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

Step 1: Since 251 > 19, we apply the division lemma to 251 and 19, to get

251 = 19 x 13 + 4

Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 4 and 19, to get

19 = 4 x 4 + 3

Step 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 19 and 251 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(251,19) .

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Frequently Asked Questions on HCF of 342, 551, 251 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 342, 551, 251?

Answer: HCF of 342, 551, 251 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 342, 551, 251 using Euclid's Algorithm?

Answer: For arbitrary numbers 342, 551, 251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.