Highest Common Factor of 9650, 4743, 55508 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 9650, 4743, 55508 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9650, 4743, 55508 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 9650, 4743, 55508 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 9650, 4743, 55508 is 1.

HCF(9650, 4743, 55508) = 1

HCF of 9650, 4743, 55508 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 9650, 4743, 55508 is 1.

Highest Common Factor of 9650,4743,55508 using Euclid's algorithm

Highest Common Factor of 9650,4743,55508 is 1

Step 1: Since 9650 > 4743, we apply the division lemma to 9650 and 4743, to get

9650 = 4743 x 2 + 164

Step 2: Since the reminder 4743 ≠ 0, we apply division lemma to 164 and 4743, to get

4743 = 164 x 28 + 151

Step 3: We consider the new divisor 164 and the new remainder 151, and apply the division lemma to get

164 = 151 x 1 + 13

We consider the new divisor 151 and the new remainder 13,and apply the division lemma to get

151 = 13 x 11 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 9650 and 4743 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(151,13) = HCF(164,151) = HCF(4743,164) = HCF(9650,4743) .

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

Step 1: Since 55508 > 1, we apply the division lemma to 55508 and 1, to get

55508 = 1 x 55508 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55508 is 1

Notice that 1 = HCF(55508,1) .

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Frequently Asked Questions on HCF of 9650, 4743, 55508 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 9650, 4743, 55508?

Answer: HCF of 9650, 4743, 55508 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9650, 4743, 55508 using Euclid's Algorithm?

Answer: For arbitrary numbers 9650, 4743, 55508 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.