Highest Common Factor of 729, 990, 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 729, 990, 626 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 729, 990, 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 729, 990, 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 729, 990, 626 is 1.

HCF(729, 990, 626) = 1

HCF of 729, 990, 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 729, 990, 626 is 1.

Highest Common Factor of 729,990,626 using Euclid's algorithm

Highest Common Factor of 729,990,626 is 1

Step 1: Since 990 > 729, we apply the division lemma to 990 and 729, to get

990 = 729 x 1 + 261

Step 2: Since the reminder 729 ≠ 0, we apply division lemma to 261 and 729, to get

729 = 261 x 2 + 207

Step 3: We consider the new divisor 261 and the new remainder 207, and apply the division lemma to get

261 = 207 x 1 + 54

We consider the new divisor 207 and the new remainder 54,and apply the division lemma to get

207 = 54 x 3 + 45

We consider the new divisor 54 and the new remainder 45,and apply the division lemma to get

54 = 45 x 1 + 9

We consider the new divisor 45 and the new remainder 9,and apply the division lemma to get

45 = 9 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 729 and 990 is 9

Notice that 9 = HCF(45,9) = HCF(54,45) = HCF(207,54) = HCF(261,207) = HCF(729,261) = HCF(990,729) .

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

Step 1: Since 626 > 9, we apply the division lemma to 626 and 9, to get

626 = 9 x 69 + 5

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 5 and 9, to get

9 = 5 x 1 + 4

Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 626 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(626,9) .

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Frequently Asked Questions on HCF of 729, 990, 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 729, 990, 626?

Answer: HCF of 729, 990, 626 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 729, 990, 626 using Euclid's Algorithm?

Answer: For arbitrary numbers 729, 990, 626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.