Highest Common Factor of 990, 646, 873 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 990, 646, 873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 990, 646, 873 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 990, 646, 873 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 990, 646, 873 is 1.

HCF(990, 646, 873) = 1

HCF of 990, 646, 873 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 990, 646, 873 is 1.

Highest Common Factor of 990,646,873 using Euclid's algorithm

Highest Common Factor of 990,646,873 is 1

Step 1: Since 990 > 646, we apply the division lemma to 990 and 646, to get

990 = 646 x 1 + 344

Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 344 and 646, to get

646 = 344 x 1 + 302

Step 3: We consider the new divisor 344 and the new remainder 302, and apply the division lemma to get

344 = 302 x 1 + 42

We consider the new divisor 302 and the new remainder 42,and apply the division lemma to get

302 = 42 x 7 + 8

We consider the new divisor 42 and the new remainder 8,and apply the division lemma to get

42 = 8 x 5 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 990 and 646 is 2

Notice that 2 = HCF(8,2) = HCF(42,8) = HCF(302,42) = HCF(344,302) = HCF(646,344) = HCF(990,646) .

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

Step 1: Since 873 > 2, we apply the division lemma to 873 and 2, to get

873 = 2 x 436 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 873 is 1

Notice that 1 = HCF(2,1) = HCF(873,2) .

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Frequently Asked Questions on HCF of 990, 646, 873 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 990, 646, 873?

Answer: HCF of 990, 646, 873 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 990, 646, 873 using Euclid's Algorithm?

Answer: For arbitrary numbers 990, 646, 873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.