Highest Common Factor of 4217, 6335, 44069 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 4217, 6335, 44069 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4217, 6335, 44069 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 4217, 6335, 44069 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 4217, 6335, 44069 is 1.

HCF(4217, 6335, 44069) = 1

HCF of 4217, 6335, 44069 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 4217, 6335, 44069 is 1.

Highest Common Factor of 4217,6335,44069 using Euclid's algorithm

Highest Common Factor of 4217,6335,44069 is 1

Step 1: Since 6335 > 4217, we apply the division lemma to 6335 and 4217, to get

6335 = 4217 x 1 + 2118

Step 2: Since the reminder 4217 ≠ 0, we apply division lemma to 2118 and 4217, to get

4217 = 2118 x 1 + 2099

Step 3: We consider the new divisor 2118 and the new remainder 2099, and apply the division lemma to get

2118 = 2099 x 1 + 19

We consider the new divisor 2099 and the new remainder 19,and apply the division lemma to get

2099 = 19 x 110 + 9

We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get

19 = 9 x 2 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4217 and 6335 is 1

Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(2099,19) = HCF(2118,2099) = HCF(4217,2118) = HCF(6335,4217) .

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

Step 1: Since 44069 > 1, we apply the division lemma to 44069 and 1, to get

44069 = 1 x 44069 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44069 is 1

Notice that 1 = HCF(44069,1) .

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Frequently Asked Questions on HCF of 4217, 6335, 44069 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 4217, 6335, 44069?

Answer: HCF of 4217, 6335, 44069 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4217, 6335, 44069 using Euclid's Algorithm?

Answer: For arbitrary numbers 4217, 6335, 44069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.