Highest Common Factor of 626, 993, 982 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 626, 993, 982 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 626, 993, 982 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 626, 993, 982 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 626, 993, 982 is 1.

HCF(626, 993, 982) = 1

HCF of 626, 993, 982 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 626, 993, 982 is 1.

Highest Common Factor of 626,993,982 using Euclid's algorithm

Highest Common Factor of 626,993,982 is 1

Step 1: Since 993 > 626, we apply the division lemma to 993 and 626, to get

993 = 626 x 1 + 367

Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 367 and 626, to get

626 = 367 x 1 + 259

Step 3: We consider the new divisor 367 and the new remainder 259, and apply the division lemma to get

367 = 259 x 1 + 108

We consider the new divisor 259 and the new remainder 108,and apply the division lemma to get

259 = 108 x 2 + 43

We consider the new divisor 108 and the new remainder 43,and apply the division lemma to get

108 = 43 x 2 + 22

We consider the new divisor 43 and the new remainder 22,and apply the division lemma to get

43 = 22 x 1 + 21

We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get

22 = 21 x 1 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 626 and 993 is 1

Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(43,22) = HCF(108,43) = HCF(259,108) = HCF(367,259) = HCF(626,367) = HCF(993,626) .

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

Step 1: Since 982 > 1, we apply the division lemma to 982 and 1, to get

982 = 1 x 982 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 982 is 1

Notice that 1 = HCF(982,1) .

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Frequently Asked Questions on HCF of 626, 993, 982 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 626, 993, 982?

Answer: HCF of 626, 993, 982 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 626, 993, 982 using Euclid's Algorithm?

Answer: For arbitrary numbers 626, 993, 982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.