Highest Common Factor of 1698, 4790, 90093 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 1698, 4790, 90093 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1698, 4790, 90093 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 1698, 4790, 90093 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 1698, 4790, 90093 is 1.

HCF(1698, 4790, 90093) = 1

HCF of 1698, 4790, 90093 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 1698, 4790, 90093 is 1.

Highest Common Factor of 1698,4790,90093 using Euclid's algorithm

Highest Common Factor of 1698,4790,90093 is 1

Step 1: Since 4790 > 1698, we apply the division lemma to 4790 and 1698, to get

4790 = 1698 x 2 + 1394

Step 2: Since the reminder 1698 ≠ 0, we apply division lemma to 1394 and 1698, to get

1698 = 1394 x 1 + 304

Step 3: We consider the new divisor 1394 and the new remainder 304, and apply the division lemma to get

1394 = 304 x 4 + 178

We consider the new divisor 304 and the new remainder 178,and apply the division lemma to get

304 = 178 x 1 + 126

We consider the new divisor 178 and the new remainder 126,and apply the division lemma to get

178 = 126 x 1 + 52

We consider the new divisor 126 and the new remainder 52,and apply the division lemma to get

126 = 52 x 2 + 22

We consider the new divisor 52 and the new remainder 22,and apply the division lemma to get

52 = 22 x 2 + 8

We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get

22 = 8 x 2 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1698 and 4790 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(52,22) = HCF(126,52) = HCF(178,126) = HCF(304,178) = HCF(1394,304) = HCF(1698,1394) = HCF(4790,1698) .

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

Step 1: Since 90093 > 2, we apply the division lemma to 90093 and 2, to get

90093 = 2 x 45046 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 90093 is 1

Notice that 1 = HCF(2,1) = HCF(90093,2) .

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Frequently Asked Questions on HCF of 1698, 4790, 90093 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 1698, 4790, 90093?

Answer: HCF of 1698, 4790, 90093 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1698, 4790, 90093 using Euclid's Algorithm?

Answer: For arbitrary numbers 1698, 4790, 90093 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.