Highest Common Factor of 5486, 4335, 84742 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 5486, 4335, 84742 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5486, 4335, 84742 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 5486, 4335, 84742 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 5486, 4335, 84742 is 1.

HCF(5486, 4335, 84742) = 1

HCF of 5486, 4335, 84742 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 5486, 4335, 84742 is 1.

Highest Common Factor of 5486,4335,84742 using Euclid's algorithm

Highest Common Factor of 5486,4335,84742 is 1

Step 1: Since 5486 > 4335, we apply the division lemma to 5486 and 4335, to get

5486 = 4335 x 1 + 1151

Step 2: Since the reminder 4335 ≠ 0, we apply division lemma to 1151 and 4335, to get

4335 = 1151 x 3 + 882

Step 3: We consider the new divisor 1151 and the new remainder 882, and apply the division lemma to get

1151 = 882 x 1 + 269

We consider the new divisor 882 and the new remainder 269,and apply the division lemma to get

882 = 269 x 3 + 75

We consider the new divisor 269 and the new remainder 75,and apply the division lemma to get

269 = 75 x 3 + 44

We consider the new divisor 75 and the new remainder 44,and apply the division lemma to get

75 = 44 x 1 + 31

We consider the new divisor 44 and the new remainder 31,and apply the division lemma to get

44 = 31 x 1 + 13

We consider the new divisor 31 and the new remainder 13,and apply the division lemma to get

31 = 13 x 2 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5486 and 4335 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(31,13) = HCF(44,31) = HCF(75,44) = HCF(269,75) = HCF(882,269) = HCF(1151,882) = HCF(4335,1151) = HCF(5486,4335) .

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

Step 1: Since 84742 > 1, we apply the division lemma to 84742 and 1, to get

84742 = 1 x 84742 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84742 is 1

Notice that 1 = HCF(84742,1) .

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Frequently Asked Questions on HCF of 5486, 4335, 84742 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 5486, 4335, 84742?

Answer: HCF of 5486, 4335, 84742 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5486, 4335, 84742 using Euclid's Algorithm?

Answer: For arbitrary numbers 5486, 4335, 84742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.