Highest Common Factor of 4133, 6210, 94321 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 4133, 6210, 94321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4133, 6210, 94321 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 4133, 6210, 94321 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 4133, 6210, 94321 is 1.

HCF(4133, 6210, 94321) = 1

HCF of 4133, 6210, 94321 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 4133, 6210, 94321 is 1.

Highest Common Factor of 4133,6210,94321 using Euclid's algorithm

Highest Common Factor of 4133,6210,94321 is 1

Step 1: Since 6210 > 4133, we apply the division lemma to 6210 and 4133, to get

6210 = 4133 x 1 + 2077

Step 2: Since the reminder 4133 ≠ 0, we apply division lemma to 2077 and 4133, to get

4133 = 2077 x 1 + 2056

Step 3: We consider the new divisor 2077 and the new remainder 2056, and apply the division lemma to get

2077 = 2056 x 1 + 21

We consider the new divisor 2056 and the new remainder 21,and apply the division lemma to get

2056 = 21 x 97 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 4133 and 6210 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(2056,21) = HCF(2077,2056) = HCF(4133,2077) = HCF(6210,4133) .

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

Step 1: Since 94321 > 1, we apply the division lemma to 94321 and 1, to get

94321 = 1 x 94321 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94321 is 1

Notice that 1 = HCF(94321,1) .

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Frequently Asked Questions on HCF of 4133, 6210, 94321 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 4133, 6210, 94321?

Answer: HCF of 4133, 6210, 94321 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4133, 6210, 94321 using Euclid's Algorithm?

Answer: For arbitrary numbers 4133, 6210, 94321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.