Highest Common Factor of 511, 827, 944 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 511, 827, 944 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 511, 827, 944 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 511, 827, 944 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 511, 827, 944 is 1.

HCF(511, 827, 944) = 1

HCF of 511, 827, 944 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 511, 827, 944 is 1.

Highest Common Factor of 511,827,944 using Euclid's algorithm

Highest Common Factor of 511,827,944 is 1

Step 1: Since 827 > 511, we apply the division lemma to 827 and 511, to get

827 = 511 x 1 + 316

Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 316 and 511, to get

511 = 316 x 1 + 195

Step 3: We consider the new divisor 316 and the new remainder 195, and apply the division lemma to get

316 = 195 x 1 + 121

We consider the new divisor 195 and the new remainder 121,and apply the division lemma to get

195 = 121 x 1 + 74

We consider the new divisor 121 and the new remainder 74,and apply the division lemma to get

121 = 74 x 1 + 47

We consider the new divisor 74 and the new remainder 47,and apply the division lemma to get

74 = 47 x 1 + 27

We consider the new divisor 47 and the new remainder 27,and apply the division lemma to get

47 = 27 x 1 + 20

We consider the new divisor 27 and the new remainder 20,and apply the division lemma to get

27 = 20 x 1 + 7

We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get

20 = 7 x 2 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 511 and 827 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(27,20) = HCF(47,27) = HCF(74,47) = HCF(121,74) = HCF(195,121) = HCF(316,195) = HCF(511,316) = HCF(827,511) .

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

Step 1: Since 944 > 1, we apply the division lemma to 944 and 1, to get

944 = 1 x 944 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 944 is 1

Notice that 1 = HCF(944,1) .

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Frequently Asked Questions on HCF of 511, 827, 944 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 511, 827, 944?

Answer: HCF of 511, 827, 944 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 511, 827, 944 using Euclid's Algorithm?

Answer: For arbitrary numbers 511, 827, 944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.