Highest Common Factor of 834, 602, 843 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 834, 602, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 834, 602, 843 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 834, 602, 843 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 834, 602, 843 is 1.

HCF(834, 602, 843) = 1

HCF of 834, 602, 843 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 834, 602, 843 is 1.

Highest Common Factor of 834,602,843 using Euclid's algorithm

Highest Common Factor of 834,602,843 is 1

Step 1: Since 834 > 602, we apply the division lemma to 834 and 602, to get

834 = 602 x 1 + 232

Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 232 and 602, to get

602 = 232 x 2 + 138

Step 3: We consider the new divisor 232 and the new remainder 138, and apply the division lemma to get

232 = 138 x 1 + 94

We consider the new divisor 138 and the new remainder 94,and apply the division lemma to get

138 = 94 x 1 + 44

We consider the new divisor 94 and the new remainder 44,and apply the division lemma to get

94 = 44 x 2 + 6

We consider the new divisor 44 and the new remainder 6,and apply the division lemma to get

44 = 6 x 7 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 834 and 602 is 2

Notice that 2 = HCF(6,2) = HCF(44,6) = HCF(94,44) = HCF(138,94) = HCF(232,138) = HCF(602,232) = HCF(834,602) .

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

Step 1: Since 843 > 2, we apply the division lemma to 843 and 2, to get

843 = 2 x 421 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 843 is 1

Notice that 1 = HCF(2,1) = HCF(843,2) .

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Frequently Asked Questions on HCF of 834, 602, 843 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 834, 602, 843?

Answer: HCF of 834, 602, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 834, 602, 843 using Euclid's Algorithm?

Answer: For arbitrary numbers 834, 602, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.