Highest Common Factor of 406, 698, 191, 26 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 406, 698, 191, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 406, 698, 191, 26 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 406, 698, 191, 26 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 406, 698, 191, 26 is 1.

HCF(406, 698, 191, 26) = 1

HCF of 406, 698, 191, 26 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 406, 698, 191, 26 is 1.

Highest Common Factor of 406,698,191,26 using Euclid's algorithm

Highest Common Factor of 406,698,191,26 is 1

Step 1: Since 698 > 406, we apply the division lemma to 698 and 406, to get

698 = 406 x 1 + 292

Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 292 and 406, to get

406 = 292 x 1 + 114

Step 3: We consider the new divisor 292 and the new remainder 114, and apply the division lemma to get

292 = 114 x 2 + 64

We consider the new divisor 114 and the new remainder 64,and apply the division lemma to get

114 = 64 x 1 + 50

We consider the new divisor 64 and the new remainder 50,and apply the division lemma to get

64 = 50 x 1 + 14

We consider the new divisor 50 and the new remainder 14,and apply the division lemma to get

50 = 14 x 3 + 8

We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get

14 = 8 x 1 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 406 and 698 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(50,14) = HCF(64,50) = HCF(114,64) = HCF(292,114) = HCF(406,292) = HCF(698,406) .

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

Step 1: Since 191 > 2, we apply the division lemma to 191 and 2, to get

191 = 2 x 95 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 191 is 1

Notice that 1 = HCF(2,1) = HCF(191,2) .

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

Step 1: Since 26 > 1, we apply the division lemma to 26 and 1, to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26 is 1

Notice that 1 = HCF(26,1) .

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Frequently Asked Questions on HCF of 406, 698, 191, 26 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 406, 698, 191, 26?

Answer: HCF of 406, 698, 191, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 406, 698, 191, 26 using Euclid's Algorithm?

Answer: For arbitrary numbers 406, 698, 191, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.