Highest Common Factor of 4511, 3334, 93822 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 4511, 3334, 93822 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4511, 3334, 93822 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 4511, 3334, 93822 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 4511, 3334, 93822 is 1.

HCF(4511, 3334, 93822) = 1

HCF of 4511, 3334, 93822 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 4511, 3334, 93822 is 1.

Highest Common Factor of 4511,3334,93822 using Euclid's algorithm

Highest Common Factor of 4511,3334,93822 is 1

Step 1: Since 4511 > 3334, we apply the division lemma to 4511 and 3334, to get

4511 = 3334 x 1 + 1177

Step 2: Since the reminder 3334 ≠ 0, we apply division lemma to 1177 and 3334, to get

3334 = 1177 x 2 + 980

Step 3: We consider the new divisor 1177 and the new remainder 980, and apply the division lemma to get

1177 = 980 x 1 + 197

We consider the new divisor 980 and the new remainder 197,and apply the division lemma to get

980 = 197 x 4 + 192

We consider the new divisor 197 and the new remainder 192,and apply the division lemma to get

197 = 192 x 1 + 5

We consider the new divisor 192 and the new remainder 5,and apply the division lemma to get

192 = 5 x 38 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4511 and 3334 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(192,5) = HCF(197,192) = HCF(980,197) = HCF(1177,980) = HCF(3334,1177) = HCF(4511,3334) .

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

Step 1: Since 93822 > 1, we apply the division lemma to 93822 and 1, to get

93822 = 1 x 93822 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93822 is 1

Notice that 1 = HCF(93822,1) .

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Frequently Asked Questions on HCF of 4511, 3334, 93822 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 4511, 3334, 93822?

Answer: HCF of 4511, 3334, 93822 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4511, 3334, 93822 using Euclid's Algorithm?

Answer: For arbitrary numbers 4511, 3334, 93822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.