Highest Common Factor of 763, 412, 58 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 763, 412, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 763, 412, 58 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 763, 412, 58 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 763, 412, 58 is 1.

HCF(763, 412, 58) = 1

HCF of 763, 412, 58 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 763, 412, 58 is 1.

Highest Common Factor of 763,412,58 using Euclid's algorithm

Highest Common Factor of 763,412,58 is 1

Step 1: Since 763 > 412, we apply the division lemma to 763 and 412, to get

763 = 412 x 1 + 351

Step 2: Since the reminder 412 ≠ 0, we apply division lemma to 351 and 412, to get

412 = 351 x 1 + 61

Step 3: We consider the new divisor 351 and the new remainder 61, and apply the division lemma to get

351 = 61 x 5 + 46

We consider the new divisor 61 and the new remainder 46,and apply the division lemma to get

61 = 46 x 1 + 15

We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get

46 = 15 x 3 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 763 and 412 is 1

Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(61,46) = HCF(351,61) = HCF(412,351) = HCF(763,412) .

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

Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get

58 = 1 x 58 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1

Notice that 1 = HCF(58,1) .

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Frequently Asked Questions on HCF of 763, 412, 58 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 763, 412, 58?

Answer: HCF of 763, 412, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 763, 412, 58 using Euclid's Algorithm?

Answer: For arbitrary numbers 763, 412, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.