Highest Common Factor of 4669, 5843, 42402 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 4669, 5843, 42402 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4669, 5843, 42402 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 4669, 5843, 42402 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 4669, 5843, 42402 is 1.

HCF(4669, 5843, 42402) = 1

HCF of 4669, 5843, 42402 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 4669, 5843, 42402 is 1.

Highest Common Factor of 4669,5843,42402 using Euclid's algorithm

Highest Common Factor of 4669,5843,42402 is 1

Step 1: Since 5843 > 4669, we apply the division lemma to 5843 and 4669, to get

5843 = 4669 x 1 + 1174

Step 2: Since the reminder 4669 ≠ 0, we apply division lemma to 1174 and 4669, to get

4669 = 1174 x 3 + 1147

Step 3: We consider the new divisor 1174 and the new remainder 1147, and apply the division lemma to get

1174 = 1147 x 1 + 27

We consider the new divisor 1147 and the new remainder 27,and apply the division lemma to get

1147 = 27 x 42 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4669 and 5843 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(1147,27) = HCF(1174,1147) = HCF(4669,1174) = HCF(5843,4669) .

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

Step 1: Since 42402 > 1, we apply the division lemma to 42402 and 1, to get

42402 = 1 x 42402 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42402 is 1

Notice that 1 = HCF(42402,1) .

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Frequently Asked Questions on HCF of 4669, 5843, 42402 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 4669, 5843, 42402?

Answer: HCF of 4669, 5843, 42402 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4669, 5843, 42402 using Euclid's Algorithm?

Answer: For arbitrary numbers 4669, 5843, 42402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.