Highest Common Factor of 959, 758, 599, 81 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 959, 758, 599, 81 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 959, 758, 599, 81 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 959, 758, 599, 81 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 959, 758, 599, 81 is 1.

HCF(959, 758, 599, 81) = 1

HCF of 959, 758, 599, 81 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 959, 758, 599, 81 is 1.

Highest Common Factor of 959,758,599,81 using Euclid's algorithm

Highest Common Factor of 959,758,599,81 is 1

Step 1: Since 959 > 758, we apply the division lemma to 959 and 758, to get

959 = 758 x 1 + 201

Step 2: Since the reminder 758 ≠ 0, we apply division lemma to 201 and 758, to get

758 = 201 x 3 + 155

Step 3: We consider the new divisor 201 and the new remainder 155, and apply the division lemma to get

201 = 155 x 1 + 46

We consider the new divisor 155 and the new remainder 46,and apply the division lemma to get

155 = 46 x 3 + 17

We consider the new divisor 46 and the new remainder 17,and apply the division lemma to get

46 = 17 x 2 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 959 and 758 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(46,17) = HCF(155,46) = HCF(201,155) = HCF(758,201) = HCF(959,758) .

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

Step 1: Since 599 > 1, we apply the division lemma to 599 and 1, to get

599 = 1 x 599 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 599 is 1

Notice that 1 = HCF(599,1) .

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

Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1

Notice that 1 = HCF(81,1) .

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Frequently Asked Questions on HCF of 959, 758, 599, 81 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 959, 758, 599, 81?

Answer: HCF of 959, 758, 599, 81 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 959, 758, 599, 81 using Euclid's Algorithm?

Answer: For arbitrary numbers 959, 758, 599, 81 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.