Highest Common Factor of 5853, 2290, 33615 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 5853, 2290, 33615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5853, 2290, 33615 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 5853, 2290, 33615 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 5853, 2290, 33615 is 1.

HCF(5853, 2290, 33615) = 1

HCF of 5853, 2290, 33615 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 5853, 2290, 33615 is 1.

Highest Common Factor of 5853,2290,33615 using Euclid's algorithm

Highest Common Factor of 5853,2290,33615 is 1

Step 1: Since 5853 > 2290, we apply the division lemma to 5853 and 2290, to get

5853 = 2290 x 2 + 1273

Step 2: Since the reminder 2290 ≠ 0, we apply division lemma to 1273 and 2290, to get

2290 = 1273 x 1 + 1017

Step 3: We consider the new divisor 1273 and the new remainder 1017, and apply the division lemma to get

1273 = 1017 x 1 + 256

We consider the new divisor 1017 and the new remainder 256,and apply the division lemma to get

1017 = 256 x 3 + 249

We consider the new divisor 256 and the new remainder 249,and apply the division lemma to get

256 = 249 x 1 + 7

We consider the new divisor 249 and the new remainder 7,and apply the division lemma to get

249 = 7 x 35 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5853 and 2290 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(249,7) = HCF(256,249) = HCF(1017,256) = HCF(1273,1017) = HCF(2290,1273) = HCF(5853,2290) .

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

Step 1: Since 33615 > 1, we apply the division lemma to 33615 and 1, to get

33615 = 1 x 33615 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33615 is 1

Notice that 1 = HCF(33615,1) .

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Frequently Asked Questions on HCF of 5853, 2290, 33615 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 5853, 2290, 33615?

Answer: HCF of 5853, 2290, 33615 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5853, 2290, 33615 using Euclid's Algorithm?

Answer: For arbitrary numbers 5853, 2290, 33615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.