Highest Common Factor of 520, 843, 68 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 520, 843, 68 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 520, 843, 68 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 520, 843, 68 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 520, 843, 68 is 1.

HCF(520, 843, 68) = 1

HCF of 520, 843, 68 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 520, 843, 68 is 1.

Highest Common Factor of 520,843,68 using Euclid's algorithm

Highest Common Factor of 520,843,68 is 1

Step 1: Since 843 > 520, we apply the division lemma to 843 and 520, to get

843 = 520 x 1 + 323

Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 323 and 520, to get

520 = 323 x 1 + 197

Step 3: We consider the new divisor 323 and the new remainder 197, and apply the division lemma to get

323 = 197 x 1 + 126

We consider the new divisor 197 and the new remainder 126,and apply the division lemma to get

197 = 126 x 1 + 71

We consider the new divisor 126 and the new remainder 71,and apply the division lemma to get

126 = 71 x 1 + 55

We consider the new divisor 71 and the new remainder 55,and apply the division lemma to get

71 = 55 x 1 + 16

We consider the new divisor 55 and the new remainder 16,and apply the division lemma to get

55 = 16 x 3 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 520 and 843 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(55,16) = HCF(71,55) = HCF(126,71) = HCF(197,126) = HCF(323,197) = HCF(520,323) = HCF(843,520) .

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

Step 1: Since 68 > 1, we apply the division lemma to 68 and 1, to get

68 = 1 x 68 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68 is 1

Notice that 1 = HCF(68,1) .

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Frequently Asked Questions on HCF of 520, 843, 68 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 520, 843, 68?

Answer: HCF of 520, 843, 68 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 520, 843, 68 using Euclid's Algorithm?

Answer: For arbitrary numbers 520, 843, 68 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.