Highest Common Factor of 9176, 5619, 66574 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 9176, 5619, 66574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9176, 5619, 66574 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 9176, 5619, 66574 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 9176, 5619, 66574 is 1.

HCF(9176, 5619, 66574) = 1

HCF of 9176, 5619, 66574 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 9176, 5619, 66574 is 1.

Highest Common Factor of 9176,5619,66574 using Euclid's algorithm

Highest Common Factor of 9176,5619,66574 is 1

Step 1: Since 9176 > 5619, we apply the division lemma to 9176 and 5619, to get

9176 = 5619 x 1 + 3557

Step 2: Since the reminder 5619 ≠ 0, we apply division lemma to 3557 and 5619, to get

5619 = 3557 x 1 + 2062

Step 3: We consider the new divisor 3557 and the new remainder 2062, and apply the division lemma to get

3557 = 2062 x 1 + 1495

We consider the new divisor 2062 and the new remainder 1495,and apply the division lemma to get

2062 = 1495 x 1 + 567

We consider the new divisor 1495 and the new remainder 567,and apply the division lemma to get

1495 = 567 x 2 + 361

We consider the new divisor 567 and the new remainder 361,and apply the division lemma to get

567 = 361 x 1 + 206

We consider the new divisor 361 and the new remainder 206,and apply the division lemma to get

361 = 206 x 1 + 155

We consider the new divisor 206 and the new remainder 155,and apply the division lemma to get

206 = 155 x 1 + 51

We consider the new divisor 155 and the new remainder 51,and apply the division lemma to get

155 = 51 x 3 + 2

We consider the new divisor 51 and the new remainder 2,and apply the division lemma to get

51 = 2 x 25 + 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 9176 and 5619 is 1

Notice that 1 = HCF(2,1) = HCF(51,2) = HCF(155,51) = HCF(206,155) = HCF(361,206) = HCF(567,361) = HCF(1495,567) = HCF(2062,1495) = HCF(3557,2062) = HCF(5619,3557) = HCF(9176,5619) .

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

Step 1: Since 66574 > 1, we apply the division lemma to 66574 and 1, to get

66574 = 1 x 66574 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66574 is 1

Notice that 1 = HCF(66574,1) .

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Frequently Asked Questions on HCF of 9176, 5619, 66574 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 9176, 5619, 66574?

Answer: HCF of 9176, 5619, 66574 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9176, 5619, 66574 using Euclid's Algorithm?

Answer: For arbitrary numbers 9176, 5619, 66574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.