Highest Common Factor of 423, 269, 999 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 423, 269, 999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 423, 269, 999 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 423, 269, 999 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 423, 269, 999 is 1.

HCF(423, 269, 999) = 1

HCF of 423, 269, 999 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 423, 269, 999 is 1.

Highest Common Factor of 423,269,999 using Euclid's algorithm

Highest Common Factor of 423,269,999 is 1

Step 1: Since 423 > 269, we apply the division lemma to 423 and 269, to get

423 = 269 x 1 + 154

Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 154 and 269, to get

269 = 154 x 1 + 115

Step 3: We consider the new divisor 154 and the new remainder 115, and apply the division lemma to get

154 = 115 x 1 + 39

We consider the new divisor 115 and the new remainder 39,and apply the division lemma to get

115 = 39 x 2 + 37

We consider the new divisor 39 and the new remainder 37,and apply the division lemma to get

39 = 37 x 1 + 2

We consider the new divisor 37 and the new remainder 2,and apply the division lemma to get

37 = 2 x 18 + 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 423 and 269 is 1

Notice that 1 = HCF(2,1) = HCF(37,2) = HCF(39,37) = HCF(115,39) = HCF(154,115) = HCF(269,154) = HCF(423,269) .

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

Step 1: Since 999 > 1, we apply the division lemma to 999 and 1, to get

999 = 1 x 999 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 999 is 1

Notice that 1 = HCF(999,1) .

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Frequently Asked Questions on HCF of 423, 269, 999 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 423, 269, 999?

Answer: HCF of 423, 269, 999 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 423, 269, 999 using Euclid's Algorithm?

Answer: For arbitrary numbers 423, 269, 999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.