Highest Common Factor of 758, 286, 201 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 758, 286, 201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 758, 286, 201 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 758, 286, 201 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 758, 286, 201 is 1.

HCF(758, 286, 201) = 1

HCF of 758, 286, 201 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 758, 286, 201 is 1.

Highest Common Factor of 758,286,201 using Euclid's algorithm

Highest Common Factor of 758,286,201 is 1

Step 1: Since 758 > 286, we apply the division lemma to 758 and 286, to get

758 = 286 x 2 + 186

Step 2: Since the reminder 286 ≠ 0, we apply division lemma to 186 and 286, to get

286 = 186 x 1 + 100

Step 3: We consider the new divisor 186 and the new remainder 100, and apply the division lemma to get

186 = 100 x 1 + 86

We consider the new divisor 100 and the new remainder 86,and apply the division lemma to get

100 = 86 x 1 + 14

We consider the new divisor 86 and the new remainder 14,and apply the division lemma to get

86 = 14 x 6 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 758 and 286 is 2

Notice that 2 = HCF(14,2) = HCF(86,14) = HCF(100,86) = HCF(186,100) = HCF(286,186) = HCF(758,286) .

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

Step 1: Since 201 > 2, we apply the division lemma to 201 and 2, to get

201 = 2 x 100 + 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 201 is 1

Notice that 1 = HCF(2,1) = HCF(201,2) .

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Frequently Asked Questions on HCF of 758, 286, 201 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 758, 286, 201?

Answer: HCF of 758, 286, 201 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 758, 286, 201 using Euclid's Algorithm?

Answer: For arbitrary numbers 758, 286, 201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.