Highest Common Factor of 5192, 1765, 69818 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 5192, 1765, 69818 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5192, 1765, 69818 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 5192, 1765, 69818 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 5192, 1765, 69818 is 1.

HCF(5192, 1765, 69818) = 1

HCF of 5192, 1765, 69818 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 5192, 1765, 69818 is 1.

Highest Common Factor of 5192,1765,69818 using Euclid's algorithm

Highest Common Factor of 5192,1765,69818 is 1

Step 1: Since 5192 > 1765, we apply the division lemma to 5192 and 1765, to get

5192 = 1765 x 2 + 1662

Step 2: Since the reminder 1765 ≠ 0, we apply division lemma to 1662 and 1765, to get

1765 = 1662 x 1 + 103

Step 3: We consider the new divisor 1662 and the new remainder 103, and apply the division lemma to get

1662 = 103 x 16 + 14

We consider the new divisor 103 and the new remainder 14,and apply the division lemma to get

103 = 14 x 7 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 5192 and 1765 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(103,14) = HCF(1662,103) = HCF(1765,1662) = HCF(5192,1765) .

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

Step 1: Since 69818 > 1, we apply the division lemma to 69818 and 1, to get

69818 = 1 x 69818 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69818 is 1

Notice that 1 = HCF(69818,1) .

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Frequently Asked Questions on HCF of 5192, 1765, 69818 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 5192, 1765, 69818?

Answer: HCF of 5192, 1765, 69818 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5192, 1765, 69818 using Euclid's Algorithm?

Answer: For arbitrary numbers 5192, 1765, 69818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.