Highest Common Factor of 841, 232, 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 841, 232, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 841, 232, 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 841, 232, 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 841, 232, 115 is 1.

HCF(841, 232, 115) = 1

HCF of 841, 232, 115 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 841, 232, 115 is 1.

Highest Common Factor of 841,232,115 using Euclid's algorithm

Highest Common Factor of 841,232,115 is 1

Step 1: Since 841 > 232, we apply the division lemma to 841 and 232, to get

841 = 232 x 3 + 145

Step 2: Since the reminder 232 ≠ 0, we apply division lemma to 145 and 232, to get

232 = 145 x 1 + 87

Step 3: We consider the new divisor 145 and the new remainder 87, and apply the division lemma to get

145 = 87 x 1 + 58

We consider the new divisor 87 and the new remainder 58,and apply the division lemma to get

87 = 58 x 1 + 29

We consider the new divisor 58 and the new remainder 29,and apply the division lemma to get

58 = 29 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 841 and 232 is 29

Notice that 29 = HCF(58,29) = HCF(87,58) = HCF(145,87) = HCF(232,145) = HCF(841,232) .

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

Step 1: Since 115 > 29, we apply the division lemma to 115 and 29, to get

115 = 29 x 3 + 28

Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 28 and 29, to get

29 = 28 x 1 + 1

Step 3: We consider the new divisor 28 and the new remainder 1, and apply the division lemma to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 29 and 115 is 1

Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(115,29) .

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Frequently Asked Questions on HCF of 841, 232, 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 841, 232, 115?

Answer: HCF of 841, 232, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 841, 232, 115 using Euclid's Algorithm?

Answer: For arbitrary numbers 841, 232, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.