Highest Common Factor of 523, 845, 339 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 523, 845, 339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 523, 845, 339 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 523, 845, 339 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 523, 845, 339 is 1.

HCF(523, 845, 339) = 1

HCF of 523, 845, 339 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 523, 845, 339 is 1.

Highest Common Factor of 523,845,339 using Euclid's algorithm

Highest Common Factor of 523,845,339 is 1

Step 1: Since 845 > 523, we apply the division lemma to 845 and 523, to get

845 = 523 x 1 + 322

Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 322 and 523, to get

523 = 322 x 1 + 201

Step 3: We consider the new divisor 322 and the new remainder 201, and apply the division lemma to get

322 = 201 x 1 + 121

We consider the new divisor 201 and the new remainder 121,and apply the division lemma to get

201 = 121 x 1 + 80

We consider the new divisor 121 and the new remainder 80,and apply the division lemma to get

121 = 80 x 1 + 41

We consider the new divisor 80 and the new remainder 41,and apply the division lemma to get

80 = 41 x 1 + 39

We consider the new divisor 41 and the new remainder 39,and apply the division lemma to get

41 = 39 x 1 + 2

We consider the new divisor 39 and the new remainder 2,and apply the division lemma to get

39 = 2 x 19 + 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 523 and 845 is 1

Notice that 1 = HCF(2,1) = HCF(39,2) = HCF(41,39) = HCF(80,41) = HCF(121,80) = HCF(201,121) = HCF(322,201) = HCF(523,322) = HCF(845,523) .

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

Step 1: Since 339 > 1, we apply the division lemma to 339 and 1, to get

339 = 1 x 339 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 339 is 1

Notice that 1 = HCF(339,1) .

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Frequently Asked Questions on HCF of 523, 845, 339 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 523, 845, 339?

Answer: HCF of 523, 845, 339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 523, 845, 339 using Euclid's Algorithm?

Answer: For arbitrary numbers 523, 845, 339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.