Highest Common Factor of 3518, 6093, 93508 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 3518, 6093, 93508 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3518, 6093, 93508 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 3518, 6093, 93508 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 3518, 6093, 93508 is 1.

HCF(3518, 6093, 93508) = 1

HCF of 3518, 6093, 93508 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 3518, 6093, 93508 is 1.

Highest Common Factor of 3518,6093,93508 using Euclid's algorithm

Highest Common Factor of 3518,6093,93508 is 1

Step 1: Since 6093 > 3518, we apply the division lemma to 6093 and 3518, to get

6093 = 3518 x 1 + 2575

Step 2: Since the reminder 3518 ≠ 0, we apply division lemma to 2575 and 3518, to get

3518 = 2575 x 1 + 943

Step 3: We consider the new divisor 2575 and the new remainder 943, and apply the division lemma to get

2575 = 943 x 2 + 689

We consider the new divisor 943 and the new remainder 689,and apply the division lemma to get

943 = 689 x 1 + 254

We consider the new divisor 689 and the new remainder 254,and apply the division lemma to get

689 = 254 x 2 + 181

We consider the new divisor 254 and the new remainder 181,and apply the division lemma to get

254 = 181 x 1 + 73

We consider the new divisor 181 and the new remainder 73,and apply the division lemma to get

181 = 73 x 2 + 35

We consider the new divisor 73 and the new remainder 35,and apply the division lemma to get

73 = 35 x 2 + 3

We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get

35 = 3 x 11 + 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 3518 and 6093 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(73,35) = HCF(181,73) = HCF(254,181) = HCF(689,254) = HCF(943,689) = HCF(2575,943) = HCF(3518,2575) = HCF(6093,3518) .

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

Step 1: Since 93508 > 1, we apply the division lemma to 93508 and 1, to get

93508 = 1 x 93508 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93508 is 1

Notice that 1 = HCF(93508,1) .

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Frequently Asked Questions on HCF of 3518, 6093, 93508 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 3518, 6093, 93508?

Answer: HCF of 3518, 6093, 93508 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3518, 6093, 93508 using Euclid's Algorithm?

Answer: For arbitrary numbers 3518, 6093, 93508 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.