Highest Common Factor of 7523, 4202, 17448 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 7523, 4202, 17448 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7523, 4202, 17448 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 7523, 4202, 17448 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 7523, 4202, 17448 is 1.

HCF(7523, 4202, 17448) = 1

HCF of 7523, 4202, 17448 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 7523, 4202, 17448 is 1.

Highest Common Factor of 7523,4202,17448 using Euclid's algorithm

Highest Common Factor of 7523,4202,17448 is 1

Step 1: Since 7523 > 4202, we apply the division lemma to 7523 and 4202, to get

7523 = 4202 x 1 + 3321

Step 2: Since the reminder 4202 ≠ 0, we apply division lemma to 3321 and 4202, to get

4202 = 3321 x 1 + 881

Step 3: We consider the new divisor 3321 and the new remainder 881, and apply the division lemma to get

3321 = 881 x 3 + 678

We consider the new divisor 881 and the new remainder 678,and apply the division lemma to get

881 = 678 x 1 + 203

We consider the new divisor 678 and the new remainder 203,and apply the division lemma to get

678 = 203 x 3 + 69

We consider the new divisor 203 and the new remainder 69,and apply the division lemma to get

203 = 69 x 2 + 65

We consider the new divisor 69 and the new remainder 65,and apply the division lemma to get

69 = 65 x 1 + 4

We consider the new divisor 65 and the new remainder 4,and apply the division lemma to get

65 = 4 x 16 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7523 and 4202 is 1

Notice that 1 = HCF(4,1) = HCF(65,4) = HCF(69,65) = HCF(203,69) = HCF(678,203) = HCF(881,678) = HCF(3321,881) = HCF(4202,3321) = HCF(7523,4202) .

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

Step 1: Since 17448 > 1, we apply the division lemma to 17448 and 1, to get

17448 = 1 x 17448 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17448 is 1

Notice that 1 = HCF(17448,1) .

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Frequently Asked Questions on HCF of 7523, 4202, 17448 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 7523, 4202, 17448?

Answer: HCF of 7523, 4202, 17448 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7523, 4202, 17448 using Euclid's Algorithm?

Answer: For arbitrary numbers 7523, 4202, 17448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.