Highest Common Factor of 934, 5055, 2543 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 934, 5055, 2543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 934, 5055, 2543 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 934, 5055, 2543 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 934, 5055, 2543 is 1.

HCF(934, 5055, 2543) = 1

HCF of 934, 5055, 2543 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 934, 5055, 2543 is 1.

Highest Common Factor of 934,5055,2543 using Euclid's algorithm

Highest Common Factor of 934,5055,2543 is 1

Step 1: Since 5055 > 934, we apply the division lemma to 5055 and 934, to get

5055 = 934 x 5 + 385

Step 2: Since the reminder 934 ≠ 0, we apply division lemma to 385 and 934, to get

934 = 385 x 2 + 164

Step 3: We consider the new divisor 385 and the new remainder 164, and apply the division lemma to get

385 = 164 x 2 + 57

We consider the new divisor 164 and the new remainder 57,and apply the division lemma to get

164 = 57 x 2 + 50

We consider the new divisor 57 and the new remainder 50,and apply the division lemma to get

57 = 50 x 1 + 7

We consider the new divisor 50 and the new remainder 7,and apply the division lemma to get

50 = 7 x 7 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 934 and 5055 is 1

Notice that 1 = HCF(7,1) = HCF(50,7) = HCF(57,50) = HCF(164,57) = HCF(385,164) = HCF(934,385) = HCF(5055,934) .

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

Step 1: Since 2543 > 1, we apply the division lemma to 2543 and 1, to get

2543 = 1 x 2543 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2543 is 1

Notice that 1 = HCF(2543,1) .

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Frequently Asked Questions on HCF of 934, 5055, 2543 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 934, 5055, 2543?

Answer: HCF of 934, 5055, 2543 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 934, 5055, 2543 using Euclid's Algorithm?

Answer: For arbitrary numbers 934, 5055, 2543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.