Highest Common Factor of 9619, 7523, 28457 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 9619, 7523, 28457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9619, 7523, 28457 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 9619, 7523, 28457 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 9619, 7523, 28457 is 1.

HCF(9619, 7523, 28457) = 1

HCF of 9619, 7523, 28457 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 9619, 7523, 28457 is 1.

Highest Common Factor of 9619,7523,28457 using Euclid's algorithm

Highest Common Factor of 9619,7523,28457 is 1

Step 1: Since 9619 > 7523, we apply the division lemma to 9619 and 7523, to get

9619 = 7523 x 1 + 2096

Step 2: Since the reminder 7523 ≠ 0, we apply division lemma to 2096 and 7523, to get

7523 = 2096 x 3 + 1235

Step 3: We consider the new divisor 2096 and the new remainder 1235, and apply the division lemma to get

2096 = 1235 x 1 + 861

We consider the new divisor 1235 and the new remainder 861,and apply the division lemma to get

1235 = 861 x 1 + 374

We consider the new divisor 861 and the new remainder 374,and apply the division lemma to get

861 = 374 x 2 + 113

We consider the new divisor 374 and the new remainder 113,and apply the division lemma to get

374 = 113 x 3 + 35

We consider the new divisor 113 and the new remainder 35,and apply the division lemma to get

113 = 35 x 3 + 8

We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get

35 = 8 x 4 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 9619 and 7523 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(113,35) = HCF(374,113) = HCF(861,374) = HCF(1235,861) = HCF(2096,1235) = HCF(7523,2096) = HCF(9619,7523) .

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

Step 1: Since 28457 > 1, we apply the division lemma to 28457 and 1, to get

28457 = 1 x 28457 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28457 is 1

Notice that 1 = HCF(28457,1) .

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Frequently Asked Questions on HCF of 9619, 7523, 28457 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 9619, 7523, 28457?

Answer: HCF of 9619, 7523, 28457 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9619, 7523, 28457 using Euclid's Algorithm?

Answer: For arbitrary numbers 9619, 7523, 28457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.