Highest Common Factor of 623, 857, 81 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, 857, 81 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 623, 857, 81 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, 857, 81 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, 857, 81 is 1.

HCF(623, 857, 81) = 1

HCF of 623, 857, 81 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, 857, 81 is 1.

Highest Common Factor of 623,857,81 using Euclid's algorithm

Highest Common Factor of 623,857,81 is 1

Step 1: Since 857 > 623, we apply the division lemma to 857 and 623, to get

857 = 623 x 1 + 234

Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 234 and 623, to get

623 = 234 x 2 + 155

Step 3: We consider the new divisor 234 and the new remainder 155, and apply the division lemma to get

234 = 155 x 1 + 79

We consider the new divisor 155 and the new remainder 79,and apply the division lemma to get

155 = 79 x 1 + 76

We consider the new divisor 79 and the new remainder 76,and apply the division lemma to get

79 = 76 x 1 + 3

We consider the new divisor 76 and the new remainder 3,and apply the division lemma to get

76 = 3 x 25 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 623 and 857 is 1

Notice that 1 = HCF(3,1) = HCF(76,3) = HCF(79,76) = HCF(155,79) = HCF(234,155) = HCF(623,234) = HCF(857,623) .

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

Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1

Notice that 1 = HCF(81,1) .

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Frequently Asked Questions on HCF of 623, 857, 81 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, 857, 81?

Answer: HCF of 623, 857, 81 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 623, 857, 81 using Euclid's Algorithm?

Answer: For arbitrary numbers 623, 857, 81 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.