Highest Common Factor of 841, 203, 223 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 841, 203, 223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 841, 203, 223 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 841, 203, 223 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 841, 203, 223 is 1.

HCF(841, 203, 223) = 1

HCF of 841, 203, 223 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 841, 203, 223 is 1.

Highest Common Factor of 841,203,223 using Euclid's algorithm

Highest Common Factor of 841,203,223 is 1

Step 1: Since 841 > 203, we apply the division lemma to 841 and 203, to get

841 = 203 x 4 + 29

Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 29 and 203, to get

203 = 29 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 841 and 203 is 29

Notice that 29 = HCF(203,29) = HCF(841,203) .

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

Step 1: Since 223 > 29, we apply the division lemma to 223 and 29, to get

223 = 29 x 7 + 20

Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 20 and 29, to get

29 = 20 x 1 + 9

Step 3: We consider the new divisor 20 and the new remainder 9, and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 29 and 223 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(223,29) .

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Frequently Asked Questions on HCF of 841, 203, 223 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 841, 203, 223?

Answer: HCF of 841, 203, 223 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 841, 203, 223 using Euclid's Algorithm?

Answer: For arbitrary numbers 841, 203, 223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.