Highest Common Factor of 4404, 2085, 33763 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 4404, 2085, 33763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4404, 2085, 33763 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 4404, 2085, 33763 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 4404, 2085, 33763 is 1.

HCF(4404, 2085, 33763) = 1

HCF of 4404, 2085, 33763 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 4404, 2085, 33763 is 1.

Highest Common Factor of 4404,2085,33763 using Euclid's algorithm

Highest Common Factor of 4404,2085,33763 is 1

Step 1: Since 4404 > 2085, we apply the division lemma to 4404 and 2085, to get

4404 = 2085 x 2 + 234

Step 2: Since the reminder 2085 ≠ 0, we apply division lemma to 234 and 2085, to get

2085 = 234 x 8 + 213

Step 3: We consider the new divisor 234 and the new remainder 213, and apply the division lemma to get

234 = 213 x 1 + 21

We consider the new divisor 213 and the new remainder 21,and apply the division lemma to get

213 = 21 x 10 + 3

We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get

21 = 3 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4404 and 2085 is 3

Notice that 3 = HCF(21,3) = HCF(213,21) = HCF(234,213) = HCF(2085,234) = HCF(4404,2085) .

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

Step 1: Since 33763 > 3, we apply the division lemma to 33763 and 3, to get

33763 = 3 x 11254 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 33763 is 1

Notice that 1 = HCF(3,1) = HCF(33763,3) .

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Frequently Asked Questions on HCF of 4404, 2085, 33763 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 4404, 2085, 33763?

Answer: HCF of 4404, 2085, 33763 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4404, 2085, 33763 using Euclid's Algorithm?

Answer: For arbitrary numbers 4404, 2085, 33763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.