Highest Common Factor of 574, 841, 11 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 574, 841, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 574, 841, 11 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 574, 841, 11 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 574, 841, 11 is 1.

HCF(574, 841, 11) = 1

HCF of 574, 841, 11 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 574, 841, 11 is 1.

Highest Common Factor of 574,841,11 using Euclid's algorithm

Highest Common Factor of 574,841,11 is 1

Step 1: Since 841 > 574, we apply the division lemma to 841 and 574, to get

841 = 574 x 1 + 267

Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 267 and 574, to get

574 = 267 x 2 + 40

Step 3: We consider the new divisor 267 and the new remainder 40, and apply the division lemma to get

267 = 40 x 6 + 27

We consider the new divisor 40 and the new remainder 27,and apply the division lemma to get

40 = 27 x 1 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 574 and 841 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(40,27) = HCF(267,40) = HCF(574,267) = HCF(841,574) .

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

Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11 is 1

Notice that 1 = HCF(11,1) .

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Frequently Asked Questions on HCF of 574, 841, 11 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 574, 841, 11?

Answer: HCF of 574, 841, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 574, 841, 11 using Euclid's Algorithm?

Answer: For arbitrary numbers 574, 841, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.