Highest Common Factor of 393, 542, 520 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 393, 542, 520 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 393, 542, 520 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 393, 542, 520 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 393, 542, 520 is 1.

HCF(393, 542, 520) = 1

HCF of 393, 542, 520 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 393, 542, 520 is 1.

Highest Common Factor of 393,542,520 using Euclid's algorithm

Highest Common Factor of 393,542,520 is 1

Step 1: Since 542 > 393, we apply the division lemma to 542 and 393, to get

542 = 393 x 1 + 149

Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 149 and 393, to get

393 = 149 x 2 + 95

Step 3: We consider the new divisor 149 and the new remainder 95, and apply the division lemma to get

149 = 95 x 1 + 54

We consider the new divisor 95 and the new remainder 54,and apply the division lemma to get

95 = 54 x 1 + 41

We consider the new divisor 54 and the new remainder 41,and apply the division lemma to get

54 = 41 x 1 + 13

We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get

41 = 13 x 3 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 393 and 542 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(54,41) = HCF(95,54) = HCF(149,95) = HCF(393,149) = HCF(542,393) .

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

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

520 = 1 x 520 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 520 is 1

Notice that 1 = HCF(520,1) .

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Frequently Asked Questions on HCF of 393, 542, 520 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 393, 542, 520?

Answer: HCF of 393, 542, 520 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 393, 542, 520 using Euclid's Algorithm?

Answer: For arbitrary numbers 393, 542, 520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.