Highest Common Factor of 8738, 6202, 35483 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 8738, 6202, 35483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8738, 6202, 35483 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 8738, 6202, 35483 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 8738, 6202, 35483 is 1.

HCF(8738, 6202, 35483) = 1

HCF of 8738, 6202, 35483 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 8738, 6202, 35483 is 1.

Highest Common Factor of 8738,6202,35483 using Euclid's algorithm

Highest Common Factor of 8738,6202,35483 is 1

Step 1: Since 8738 > 6202, we apply the division lemma to 8738 and 6202, to get

8738 = 6202 x 1 + 2536

Step 2: Since the reminder 6202 ≠ 0, we apply division lemma to 2536 and 6202, to get

6202 = 2536 x 2 + 1130

Step 3: We consider the new divisor 2536 and the new remainder 1130, and apply the division lemma to get

2536 = 1130 x 2 + 276

We consider the new divisor 1130 and the new remainder 276,and apply the division lemma to get

1130 = 276 x 4 + 26

We consider the new divisor 276 and the new remainder 26,and apply the division lemma to get

276 = 26 x 10 + 16

We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get

26 = 16 x 1 + 10

We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8738 and 6202 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(276,26) = HCF(1130,276) = HCF(2536,1130) = HCF(6202,2536) = HCF(8738,6202) .

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

Step 1: Since 35483 > 2, we apply the division lemma to 35483 and 2, to get

35483 = 2 x 17741 + 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 35483 is 1

Notice that 1 = HCF(2,1) = HCF(35483,2) .

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Frequently Asked Questions on HCF of 8738, 6202, 35483 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 8738, 6202, 35483?

Answer: HCF of 8738, 6202, 35483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8738, 6202, 35483 using Euclid's Algorithm?

Answer: For arbitrary numbers 8738, 6202, 35483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.