Highest Common Factor of 623, 398, 786 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 623, 398, 786 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 623, 398, 786 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 623, 398, 786 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 623, 398, 786 is 1.

HCF(623, 398, 786) = 1

HCF of 623, 398, 786 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 623, 398, 786 is 1.

Highest Common Factor of 623,398,786 using Euclid's algorithm

Highest Common Factor of 623,398,786 is 1

Step 1: Since 623 > 398, we apply the division lemma to 623 and 398, to get

623 = 398 x 1 + 225

Step 2: Since the reminder 398 ≠ 0, we apply division lemma to 225 and 398, to get

398 = 225 x 1 + 173

Step 3: We consider the new divisor 225 and the new remainder 173, and apply the division lemma to get

225 = 173 x 1 + 52

We consider the new divisor 173 and the new remainder 52,and apply the division lemma to get

173 = 52 x 3 + 17

We consider the new divisor 52 and the new remainder 17,and apply the division lemma to get

52 = 17 x 3 + 1

We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get

17 = 1 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 623 and 398 is 1

Notice that 1 = HCF(17,1) = HCF(52,17) = HCF(173,52) = HCF(225,173) = HCF(398,225) = HCF(623,398) .

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

Step 1: Since 786 > 1, we apply the division lemma to 786 and 1, to get

786 = 1 x 786 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 786 is 1

Notice that 1 = HCF(786,1) .

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Frequently Asked Questions on HCF of 623, 398, 786 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 623, 398, 786?

Answer: HCF of 623, 398, 786 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 623, 398, 786 using Euclid's Algorithm?

Answer: For arbitrary numbers 623, 398, 786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.