Highest Common Factor of 844, 233, 115 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 844, 233, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 844, 233, 115 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 844, 233, 115 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 844, 233, 115 is 1.

HCF(844, 233, 115) = 1

HCF of 844, 233, 115 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 844, 233, 115 is 1.

Highest Common Factor of 844,233,115 using Euclid's algorithm

Highest Common Factor of 844,233,115 is 1

Step 1: Since 844 > 233, we apply the division lemma to 844 and 233, to get

844 = 233 x 3 + 145

Step 2: Since the reminder 233 ≠ 0, we apply division lemma to 145 and 233, to get

233 = 145 x 1 + 88

Step 3: We consider the new divisor 145 and the new remainder 88, and apply the division lemma to get

145 = 88 x 1 + 57

We consider the new divisor 88 and the new remainder 57,and apply the division lemma to get

88 = 57 x 1 + 31

We consider the new divisor 57 and the new remainder 31,and apply the division lemma to get

57 = 31 x 1 + 26

We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get

31 = 26 x 1 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 844 and 233 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(57,31) = HCF(88,57) = HCF(145,88) = HCF(233,145) = HCF(844,233) .

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

Step 1: Since 115 > 1, we apply the division lemma to 115 and 1, to get

115 = 1 x 115 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 115 is 1

Notice that 1 = HCF(115,1) .

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Frequently Asked Questions on HCF of 844, 233, 115 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 844, 233, 115?

Answer: HCF of 844, 233, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 844, 233, 115 using Euclid's Algorithm?

Answer: For arbitrary numbers 844, 233, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.