Highest Common Factor of 999, 626 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 999, 626 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 999, 626 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 999, 626 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 999, 626 is 1.

HCF(999, 626) = 1

HCF of 999, 626 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 999, 626 is 1.

Highest Common Factor of 999,626 using Euclid's algorithm

Highest Common Factor of 999,626 is 1

Step 1: Since 999 > 626, we apply the division lemma to 999 and 626, to get

999 = 626 x 1 + 373

Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 373 and 626, to get

626 = 373 x 1 + 253

Step 3: We consider the new divisor 373 and the new remainder 253, and apply the division lemma to get

373 = 253 x 1 + 120

We consider the new divisor 253 and the new remainder 120,and apply the division lemma to get

253 = 120 x 2 + 13

We consider the new divisor 120 and the new remainder 13,and apply the division lemma to get

120 = 13 x 9 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 999 and 626 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(120,13) = HCF(253,120) = HCF(373,253) = HCF(626,373) = HCF(999,626) .

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Frequently Asked Questions on HCF of 999, 626 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 999, 626?

Answer: HCF of 999, 626 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 999, 626 using Euclid's Algorithm?

Answer: For arbitrary numbers 999, 626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.