Highest Common Factor of 3303, 5222, 85513 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 3303, 5222, 85513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3303, 5222, 85513 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 3303, 5222, 85513 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 3303, 5222, 85513 is 1.

HCF(3303, 5222, 85513) = 1

HCF of 3303, 5222, 85513 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 3303, 5222, 85513 is 1.

Highest Common Factor of 3303,5222,85513 using Euclid's algorithm

Highest Common Factor of 3303,5222,85513 is 1

Step 1: Since 5222 > 3303, we apply the division lemma to 5222 and 3303, to get

5222 = 3303 x 1 + 1919

Step 2: Since the reminder 3303 ≠ 0, we apply division lemma to 1919 and 3303, to get

3303 = 1919 x 1 + 1384

Step 3: We consider the new divisor 1919 and the new remainder 1384, and apply the division lemma to get

1919 = 1384 x 1 + 535

We consider the new divisor 1384 and the new remainder 535,and apply the division lemma to get

1384 = 535 x 2 + 314

We consider the new divisor 535 and the new remainder 314,and apply the division lemma to get

535 = 314 x 1 + 221

We consider the new divisor 314 and the new remainder 221,and apply the division lemma to get

314 = 221 x 1 + 93

We consider the new divisor 221 and the new remainder 93,and apply the division lemma to get

221 = 93 x 2 + 35

We consider the new divisor 93 and the new remainder 35,and apply the division lemma to get

93 = 35 x 2 + 23

We consider the new divisor 35 and the new remainder 23,and apply the division lemma to get

35 = 23 x 1 + 12

We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get

23 = 12 x 1 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3303 and 5222 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(35,23) = HCF(93,35) = HCF(221,93) = HCF(314,221) = HCF(535,314) = HCF(1384,535) = HCF(1919,1384) = HCF(3303,1919) = HCF(5222,3303) .

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

Step 1: Since 85513 > 1, we apply the division lemma to 85513 and 1, to get

85513 = 1 x 85513 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85513 is 1

Notice that 1 = HCF(85513,1) .

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Frequently Asked Questions on HCF of 3303, 5222, 85513 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 3303, 5222, 85513?

Answer: HCF of 3303, 5222, 85513 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3303, 5222, 85513 using Euclid's Algorithm?

Answer: For arbitrary numbers 3303, 5222, 85513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.