Highest Common Factor of 843, 235, 878 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 843, 235, 878 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 843, 235, 878 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 843, 235, 878 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 843, 235, 878 is 1.

HCF(843, 235, 878) = 1

HCF of 843, 235, 878 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 843, 235, 878 is 1.

Highest Common Factor of 843,235,878 using Euclid's algorithm

Highest Common Factor of 843,235,878 is 1

Step 1: Since 843 > 235, we apply the division lemma to 843 and 235, to get

843 = 235 x 3 + 138

Step 2: Since the reminder 235 ≠ 0, we apply division lemma to 138 and 235, to get

235 = 138 x 1 + 97

Step 3: We consider the new divisor 138 and the new remainder 97, and apply the division lemma to get

138 = 97 x 1 + 41

We consider the new divisor 97 and the new remainder 41,and apply the division lemma to get

97 = 41 x 2 + 15

We consider the new divisor 41 and the new remainder 15,and apply the division lemma to get

41 = 15 x 2 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 843 and 235 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(41,15) = HCF(97,41) = HCF(138,97) = HCF(235,138) = HCF(843,235) .

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

Step 1: Since 878 > 1, we apply the division lemma to 878 and 1, to get

878 = 1 x 878 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 878 is 1

Notice that 1 = HCF(878,1) .

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Frequently Asked Questions on HCF of 843, 235, 878 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 843, 235, 878?

Answer: HCF of 843, 235, 878 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 843, 235, 878 using Euclid's Algorithm?

Answer: For arbitrary numbers 843, 235, 878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.