Highest Common Factor of 5183, 6654, 97194 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 5183, 6654, 97194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5183, 6654, 97194 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 5183, 6654, 97194 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 5183, 6654, 97194 is 1.

HCF(5183, 6654, 97194) = 1

HCF of 5183, 6654, 97194 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 5183, 6654, 97194 is 1.

Highest Common Factor of 5183,6654,97194 using Euclid's algorithm

Highest Common Factor of 5183,6654,97194 is 1

Step 1: Since 6654 > 5183, we apply the division lemma to 6654 and 5183, to get

6654 = 5183 x 1 + 1471

Step 2: Since the reminder 5183 ≠ 0, we apply division lemma to 1471 and 5183, to get

5183 = 1471 x 3 + 770

Step 3: We consider the new divisor 1471 and the new remainder 770, and apply the division lemma to get

1471 = 770 x 1 + 701

We consider the new divisor 770 and the new remainder 701,and apply the division lemma to get

770 = 701 x 1 + 69

We consider the new divisor 701 and the new remainder 69,and apply the division lemma to get

701 = 69 x 10 + 11

We consider the new divisor 69 and the new remainder 11,and apply the division lemma to get

69 = 11 x 6 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 5183 and 6654 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(69,11) = HCF(701,69) = HCF(770,701) = HCF(1471,770) = HCF(5183,1471) = HCF(6654,5183) .

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

Step 1: Since 97194 > 1, we apply the division lemma to 97194 and 1, to get

97194 = 1 x 97194 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97194 is 1

Notice that 1 = HCF(97194,1) .

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Frequently Asked Questions on HCF of 5183, 6654, 97194 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 5183, 6654, 97194?

Answer: HCF of 5183, 6654, 97194 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5183, 6654, 97194 using Euclid's Algorithm?

Answer: For arbitrary numbers 5183, 6654, 97194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.