Highest Common Factor of 5433, 1862, 97109 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 5433, 1862, 97109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5433, 1862, 97109 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 5433, 1862, 97109 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 5433, 1862, 97109 is 1.

HCF(5433, 1862, 97109) = 1

HCF of 5433, 1862, 97109 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 5433, 1862, 97109 is 1.

Highest Common Factor of 5433,1862,97109 using Euclid's algorithm

Highest Common Factor of 5433,1862,97109 is 1

Step 1: Since 5433 > 1862, we apply the division lemma to 5433 and 1862, to get

5433 = 1862 x 2 + 1709

Step 2: Since the reminder 1862 ≠ 0, we apply division lemma to 1709 and 1862, to get

1862 = 1709 x 1 + 153

Step 3: We consider the new divisor 1709 and the new remainder 153, and apply the division lemma to get

1709 = 153 x 11 + 26

We consider the new divisor 153 and the new remainder 26,and apply the division lemma to get

153 = 26 x 5 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 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 5433 and 1862 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(153,26) = HCF(1709,153) = HCF(1862,1709) = HCF(5433,1862) .

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

Step 1: Since 97109 > 1, we apply the division lemma to 97109 and 1, to get

97109 = 1 x 97109 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97109 is 1

Notice that 1 = HCF(97109,1) .

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Frequently Asked Questions on HCF of 5433, 1862, 97109 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 5433, 1862, 97109?

Answer: HCF of 5433, 1862, 97109 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5433, 1862, 97109 using Euclid's Algorithm?

Answer: For arbitrary numbers 5433, 1862, 97109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.