Highest Common Factor of 890, 577, 643 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 890, 577, 643 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 890, 577, 643 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 890, 577, 643 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 890, 577, 643 is 1.

HCF(890, 577, 643) = 1

HCF of 890, 577, 643 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 890, 577, 643 is 1.

Highest Common Factor of 890,577,643 using Euclid's algorithm

Highest Common Factor of 890,577,643 is 1

Step 1: Since 890 > 577, we apply the division lemma to 890 and 577, to get

890 = 577 x 1 + 313

Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 313 and 577, to get

577 = 313 x 1 + 264

Step 3: We consider the new divisor 313 and the new remainder 264, and apply the division lemma to get

313 = 264 x 1 + 49

We consider the new divisor 264 and the new remainder 49,and apply the division lemma to get

264 = 49 x 5 + 19

We consider the new divisor 49 and the new remainder 19,and apply the division lemma to get

49 = 19 x 2 + 11

We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get

19 = 11 x 1 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 890 and 577 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(49,19) = HCF(264,49) = HCF(313,264) = HCF(577,313) = HCF(890,577) .

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

Step 1: Since 643 > 1, we apply the division lemma to 643 and 1, to get

643 = 1 x 643 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 643 is 1

Notice that 1 = HCF(643,1) .

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Frequently Asked Questions on HCF of 890, 577, 643 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 890, 577, 643?

Answer: HCF of 890, 577, 643 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 890, 577, 643 using Euclid's Algorithm?

Answer: For arbitrary numbers 890, 577, 643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.