Highest Common Factor of 3569, 5875, 55034 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 3569, 5875, 55034 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3569, 5875, 55034 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 3569, 5875, 55034 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 3569, 5875, 55034 is 1.

HCF(3569, 5875, 55034) = 1

HCF of 3569, 5875, 55034 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 3569, 5875, 55034 is 1.

Highest Common Factor of 3569,5875,55034 using Euclid's algorithm

Highest Common Factor of 3569,5875,55034 is 1

Step 1: Since 5875 > 3569, we apply the division lemma to 5875 and 3569, to get

5875 = 3569 x 1 + 2306

Step 2: Since the reminder 3569 ≠ 0, we apply division lemma to 2306 and 3569, to get

3569 = 2306 x 1 + 1263

Step 3: We consider the new divisor 2306 and the new remainder 1263, and apply the division lemma to get

2306 = 1263 x 1 + 1043

We consider the new divisor 1263 and the new remainder 1043,and apply the division lemma to get

1263 = 1043 x 1 + 220

We consider the new divisor 1043 and the new remainder 220,and apply the division lemma to get

1043 = 220 x 4 + 163

We consider the new divisor 220 and the new remainder 163,and apply the division lemma to get

220 = 163 x 1 + 57

We consider the new divisor 163 and the new remainder 57,and apply the division lemma to get

163 = 57 x 2 + 49

We consider the new divisor 57 and the new remainder 49,and apply the division lemma to get

57 = 49 x 1 + 8

We consider the new divisor 49 and the new remainder 8,and apply the division lemma to get

49 = 8 x 6 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3569 and 5875 is 1

Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(57,49) = HCF(163,57) = HCF(220,163) = HCF(1043,220) = HCF(1263,1043) = HCF(2306,1263) = HCF(3569,2306) = HCF(5875,3569) .

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

Step 1: Since 55034 > 1, we apply the division lemma to 55034 and 1, to get

55034 = 1 x 55034 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55034 is 1

Notice that 1 = HCF(55034,1) .

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Frequently Asked Questions on HCF of 3569, 5875, 55034 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 3569, 5875, 55034?

Answer: HCF of 3569, 5875, 55034 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3569, 5875, 55034 using Euclid's Algorithm?

Answer: For arbitrary numbers 3569, 5875, 55034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.